Finding the Third Proportional to 101,414 and 157,650

Step by Step Solution

1. Step 1: Write the proportion equation
   101,414 : 157,650 = 157,650 : x
2. Step 2: Convert to fraction form
   101,414/157,650 = 157,650/x
3. Step 3: Cross multiply
   101,414x = 157,650 × 157,650
4. Step 4: Simplify right side
   101,414x = 24,853,522,500
5. Step 5: Solve for x
   x = 24,853,522,500/101,414
6. Step 6: Final answer
   x = 245,069.94