Finding the Third Proportional to 78,585.75 and 169,726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,585.75 : 169,726.50 = 169,726.50 : x
2. Step 2: Convert to fraction form
   78,585.75/169,726.50 = 169,726.50/x
3. Step 3: Cross multiply
   78,585.75x = 169,726.50 × 169,726.50
4. Step 4: Simplify right side
   78,585.75x = 28,807,084,802.25
5. Step 5: Solve for x
   x = 28,807,084,802.25/78,585.75
6. Step 6: Final answer
   x = 366,568.81