Finding the Third Proportional to 85,725 and 131,908.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,725 : 131,908.50 = 131,908.50 : x
2. Step 2: Convert to fraction form
   85,725/131,908.50 = 131,908.50/x
3. Step 3: Cross multiply
   85,725x = 131,908.50 × 131,908.50
4. Step 4: Simplify right side
   85,725x = 17,399,852,372.25
5. Step 5: Solve for x
   x = 17,399,852,372.25/85,725
6. Step 6: Final answer
   x = 202,972.91