Finding the Third Proportional to 96,891 and 141,502.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,891 : 141,502.50 = 141,502.50 : x
2. Step 2: Convert to fraction form
   96,891/141,502.50 = 141,502.50/x
3. Step 3: Cross multiply
   96,891x = 141,502.50 × 141,502.50
4. Step 4: Simplify right side
   96,891x = 20,022,957,506.25
5. Step 5: Solve for x
   x = 20,022,957,506.25/96,891
6. Step 6: Final answer
   x = 206,654.46