Finding the Third Proportional to 105,739 and 230,432

Step by Step Solution

1. Step 1: Write the proportion equation
   105,739 : 230,432 = 230,432 : x
2. Step 2: Convert to fraction form
   105,739/230,432 = 230,432/x
3. Step 3: Cross multiply
   105,739x = 230,432 × 230,432
4. Step 4: Simplify right side
   105,739x = 53,098,906,624
5. Step 5: Solve for x
   x = 53,098,906,624/105,739
6. Step 6: Final answer
   x = 502,169.56