Finding the Third Proportional to 53,488.48 and 82,778.52

Step by Step Solution

1. Step 1: Write the proportion equation
   53,488.48 : 82,778.52 = 82,778.52 : x
2. Step 2: Convert to fraction form
   53,488.48/82,778.52 = 82,778.52/x
3. Step 3: Cross multiply
   53,488.48x = 82,778.52 × 82,778.52
4. Step 4: Simplify right side
   53,488.48x = 6,852,283,295.79
5. Step 5: Solve for x
   x = 6,852,283,295.79/53,488.48
6. Step 6: Final answer
   x = 128,107.65