Finding the Third Proportional to 78,077.50 and 169,268

Step by Step Solution

1. Step 1: Write the proportion equation
   78,077.50 : 169,268 = 169,268 : x
2. Step 2: Convert to fraction form
   78,077.50/169,268 = 169,268/x
3. Step 3: Cross multiply
   78,077.50x = 169,268 × 169,268
4. Step 4: Simplify right side
   78,077.50x = 28,651,655,824
5. Step 5: Solve for x
   x = 28,651,655,824/78,077.50
6. Step 6: Final answer
   x = 366,964.31