Finding the Third Proportional to 91,413 and 141,265.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,413 : 141,265.50 = 141,265.50 : x
2. Step 2: Convert to fraction form
   91,413/141,265.50 = 141,265.50/x
3. Step 3: Cross multiply
   91,413x = 141,265.50 × 141,265.50
4. Step 4: Simplify right side
   91,413x = 19,955,941,490.25
5. Step 5: Solve for x
   x = 19,955,941,490.25/91,413
6. Step 6: Final answer
   x = 218,305.29