Finding the Third Proportional to 54,392.50 and 83,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,392.50 : 83,198.50 = 83,198.50 : x
2. Step 2: Convert to fraction form
   54,392.50/83,198.50 = 83,198.50/x
3. Step 3: Cross multiply
   54,392.50x = 83,198.50 × 83,198.50
4. Step 4: Simplify right side
   54,392.50x = 6,921,990,402.25
5. Step 5: Solve for x
   x = 6,921,990,402.25/54,392.50
6. Step 6: Final answer
   x = 127,260.02