Finding the Third Proportional to 111,644 and 151,605

Step by Step Solution

1. Step 1: Write the proportion equation
   111,644 : 151,605 = 151,605 : x
2. Step 2: Convert to fraction form
   111,644/151,605 = 151,605/x
3. Step 3: Cross multiply
   111,644x = 151,605 × 151,605
4. Step 4: Simplify right side
   111,644x = 22,984,076,025
5. Step 5: Solve for x
   x = 22,984,076,025/111,644
6. Step 6: Final answer
   x = 205,869.33