Finding the Third Proportional to 91,377 and 137,065.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,377 : 137,065.50 = 137,065.50 : x
2. Step 2: Convert to fraction form
   91,377/137,065.50 = 137,065.50/x
3. Step 3: Cross multiply
   91,377x = 137,065.50 × 137,065.50
4. Step 4: Simplify right side
   91,377x = 18,786,951,290.25
5. Step 5: Solve for x
   x = 18,786,951,290.25/91,377
6. Step 6: Final answer
   x = 205,598.25