Finding the Third Proportional to 72,535.50 and 137,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   72,535.50 : 137,416.50 = 137,416.50 : x
2. Step 2: Convert to fraction form
   72,535.50/137,416.50 = 137,416.50/x
3. Step 3: Cross multiply
   72,535.50x = 137,416.50 × 137,416.50
4. Step 4: Simplify right side
   72,535.50x = 18,883,294,472.25
5. Step 5: Solve for x
   x = 18,883,294,472.25/72,535.50
6. Step 6: Final answer
   x = 260,331.76