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Finding the Third Proportional to 459,978 and 633,399

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Solution

The third proportional to 459,978 and 633,399 is: 872,203.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,978 : 633,399 = 633,399 : x
  2. Step 2: Convert to fraction form
    459,978/633,399 = 633,399/x
  3. Step 3: Cross multiply
    459,978x = 633,399 × 633,399
  4. Step 4: Simplify right side
    459,978x = 401,194,293,201
  5. Step 5: Solve for x
    x = 401,194,293,201/459,978
  6. Step 6: Final answer
    x = 872,203.22

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