Finding the Third Proportional to 99,465 and 157,500

Step by Step Solution

1. Step 1: Write the proportion equation
   99,465 : 157,500 = 157,500 : x
2. Step 2: Convert to fraction form
   99,465/157,500 = 157,500/x
3. Step 3: Cross multiply
   99,465x = 157,500 × 157,500
4. Step 4: Simplify right side
   99,465x = 24,806,250,000
5. Step 5: Solve for x
   x = 24,806,250,000/99,465
6. Step 6: Final answer
   x = 249,396.77