Finding the Third Proportional to 99,500 and 157,550

Step by Step Solution

1. Step 1: Write the proportion equation
   99,500 : 157,550 = 157,550 : x
2. Step 2: Convert to fraction form
   99,500/157,550 = 157,550/x
3. Step 3: Cross multiply
   99,500x = 157,550 × 157,550
4. Step 4: Simplify right side
   99,500x = 24,822,002,500
5. Step 5: Solve for x
   x = 24,822,002,500/99,500
6. Step 6: Final answer
   x = 249,467.36