Finding the Third Proportional to 96,292.50 and 140,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,292.50 : 140,872.50 = 140,872.50 : x
2. Step 2: Convert to fraction form
   96,292.50/140,872.50 = 140,872.50/x
3. Step 3: Cross multiply
   96,292.50x = 140,872.50 × 140,872.50
4. Step 4: Simplify right side
   96,292.50x = 19,845,061,256.25
5. Step 5: Solve for x
   x = 19,845,061,256.25/96,292.50
6. Step 6: Final answer
   x = 206,091.45