Finding the Third Proportional to 91,557 and 137,245.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,557 : 137,245.50 = 137,245.50 : x
2. Step 2: Convert to fraction form
   91,557/137,245.50 = 137,245.50/x
3. Step 3: Cross multiply
   91,557x = 137,245.50 × 137,245.50
4. Step 4: Simplify right side
   91,557x = 18,836,327,270.25
5. Step 5: Solve for x
   x = 18,836,327,270.25/91,557
6. Step 6: Final answer
   x = 205,733.34