Finding the Third Proportional to 91,369 and 137,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,369 : 137,053.50 = 137,053.50 : x
2. Step 2: Convert to fraction form
   91,369/137,053.50 = 137,053.50/x
3. Step 3: Cross multiply
   91,369x = 137,053.50 × 137,053.50
4. Step 4: Simplify right side
   91,369x = 18,783,661,862.25
5. Step 5: Solve for x
   x = 18,783,661,862.25/91,369
6. Step 6: Final answer
   x = 205,580.25