Finding the Third Proportional to 91,553.25 and 137,239.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,553.25 : 137,239.50 = 137,239.50 : x
2. Step 2: Convert to fraction form
   91,553.25/137,239.50 = 137,239.50/x
3. Step 3: Cross multiply
   91,553.25x = 137,239.50 × 137,239.50
4. Step 4: Simplify right side
   91,553.25x = 18,834,680,360.25
5. Step 5: Solve for x
   x = 18,834,680,360.25/91,553.25
6. Step 6: Final answer
   x = 205,723.78