Finding the Third Proportional to 54,202.50 and 83,415.75

Step by Step Solution

1. Step 1: Write the proportion equation
   54,202.50 : 83,415.75 = 83,415.75 : x
2. Step 2: Convert to fraction form
   54,202.50/83,415.75 = 83,415.75/x
3. Step 3: Cross multiply
   54,202.50x = 83,415.75 × 83,415.75
4. Step 4: Simplify right side
   54,202.50x = 6,958,187,348.06
5. Step 5: Solve for x
   x = 6,958,187,348.06/54,202.50
6. Step 6: Final answer
   x = 128,373.92