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Finding the Third Proportional to 188,978 and 284,322

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Solution

The third proportional to 188,978 and 284,322 is: 427,769.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,978 : 284,322 = 284,322 : x
  2. Step 2: Convert to fraction form
    188,978/284,322 = 284,322/x
  3. Step 3: Cross multiply
    188,978x = 284,322 × 284,322
  4. Step 4: Simplify right side
    188,978x = 80,838,999,684
  5. Step 5: Solve for x
    x = 80,838,999,684/188,978
  6. Step 6: Final answer
    x = 427,769.37

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