Finding the Third Proportional to 91,406.25 and 137,110.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,406.25 : 137,110.50 = 137,110.50 : x
2. Step 2: Convert to fraction form
   91,406.25/137,110.50 = 137,110.50/x
3. Step 3: Cross multiply
   91,406.25x = 137,110.50 × 137,110.50
4. Step 4: Simplify right side
   91,406.25x = 18,799,289,210.25
5. Step 5: Solve for x
   x = 18,799,289,210.25/91,406.25
6. Step 6: Final answer
   x = 205,667.44