Finding the Third Proportional to 55,113.75 and 82,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   55,113.75 : 82,456.50 = 82,456.50 : x
2. Step 2: Convert to fraction form
   55,113.75/82,456.50 = 82,456.50/x
3. Step 3: Cross multiply
   55,113.75x = 82,456.50 × 82,456.50
4. Step 4: Simplify right side
   55,113.75x = 6,799,074,392.25
5. Step 5: Solve for x
   x = 6,799,074,392.25/55,113.75
6. Step 6: Final answer
   x = 123,364.39