Finding the Third Proportional to 96,748 and 149,500

Step by Step Solution

1. Step 1: Write the proportion equation
   96,748 : 149,500 = 149,500 : x
2. Step 2: Convert to fraction form
   96,748/149,500 = 149,500/x
3. Step 3: Cross multiply
   96,748x = 149,500 × 149,500
4. Step 4: Simplify right side
   96,748x = 22,350,250,000
5. Step 5: Solve for x
   x = 22,350,250,000/96,748
6. Step 6: Final answer
   x = 231,015.11