Finding the Third Proportional to 91,451.50 and 137,420.50

Step by Step Solution

1. Step 1: Write the proportion equation
   91,451.50 : 137,420.50 = 137,420.50 : x
2. Step 2: Convert to fraction form
   91,451.50/137,420.50 = 137,420.50/x
3. Step 3: Cross multiply
   91,451.50x = 137,420.50 × 137,420.50
4. Step 4: Simplify right side
   91,451.50x = 18,884,393,820.25
5. Step 5: Solve for x
   x = 18,884,393,820.25/91,451.50
6. Step 6: Final answer
   x = 206,496.27