Finding the Third Proportional to 78,760 and 169,963.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,760 : 169,963.50 = 169,963.50 : x
2. Step 2: Convert to fraction form
   78,760/169,963.50 = 169,963.50/x
3. Step 3: Cross multiply
   78,760x = 169,963.50 × 169,963.50
4. Step 4: Simplify right side
   78,760x = 28,887,591,332.25
5. Step 5: Solve for x
   x = 28,887,591,332.25/78,760
6. Step 6: Final answer
   x = 366,779.98