Finding the Third Proportional to 91,437 and 137,155.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,437 : 137,155.50 = 137,155.50 : x
2. Step 2: Convert to fraction form
   91,437/137,155.50 = 137,155.50/x
3. Step 3: Cross multiply
   91,437x = 137,155.50 × 137,155.50
4. Step 4: Simplify right side
   91,437x = 18,811,631,180.25
5. Step 5: Solve for x
   x = 18,811,631,180.25/91,437
6. Step 6: Final answer
   x = 205,733.25