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Finding the Third Proportional to 105,978 and 148,539

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Solution

The third proportional to 105,978 and 148,539 is: 208,192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,978 : 148,539 = 148,539 : x
  2. Step 2: Convert to fraction form
    105,978/148,539 = 148,539/x
  3. Step 3: Cross multiply
    105,978x = 148,539 × 148,539
  4. Step 4: Simplify right side
    105,978x = 22,063,834,521
  5. Step 5: Solve for x
    x = 22,063,834,521/105,978
  6. Step 6: Final answer
    x = 208,192.59

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