Finding the Third Proportional to 36,085.50 and 78,310.55

Step by Step Solution

1. Step 1: Write the proportion equation
   36,085.50 : 78,310.55 = 78,310.55 : x
2. Step 2: Convert to fraction form
   36,085.50/78,310.55 = 78,310.55/x
3. Step 3: Cross multiply
   36,085.50x = 78,310.55 × 78,310.55
4. Step 4: Simplify right side
   36,085.50x = 6,132,541,751.86
5. Step 5: Solve for x
   x = 6,132,541,751.86/36,085.50
6. Step 6: Final answer
   x = 169,944.76