Finding the Third Proportional to 96,091.50 and 152,689.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,091.50 : 152,689.50 = 152,689.50 : x
2. Step 2: Convert to fraction form
   96,091.50/152,689.50 = 152,689.50/x
3. Step 3: Cross multiply
   96,091.50x = 152,689.50 × 152,689.50
4. Step 4: Simplify right side
   96,091.50x = 23,314,083,410.25
5. Step 5: Solve for x
   x = 23,314,083,410.25/96,091.50
6. Step 6: Final answer
   x = 242,623.78