Finding the Third Proportional to 52,123.50 and 86,272.59

Step by Step Solution

1. Step 1: Write the proportion equation
   52,123.50 : 86,272.59 = 86,272.59 : x
2. Step 2: Convert to fraction form
   52,123.50/86,272.59 = 86,272.59/x
3. Step 3: Cross multiply
   52,123.50x = 86,272.59 × 86,272.59
4. Step 4: Simplify right side
   52,123.50x = 7,442,960,432.35
5. Step 5: Solve for x
   x = 7,442,960,432.35/52,123.50
6. Step 6: Final answer
   x = 142,794.72