Finding the Third Proportional to 78,081.75 and 169,285.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,081.75 : 169,285.50 = 169,285.50 : x
2. Step 2: Convert to fraction form
   78,081.75/169,285.50 = 169,285.50/x
3. Step 3: Cross multiply
   78,081.75x = 169,285.50 × 169,285.50
4. Step 4: Simplify right side
   78,081.75x = 28,657,580,510.25
5. Step 5: Solve for x
   x = 28,657,580,510.25/78,081.75
6. Step 6: Final answer
   x = 367,020.21