Finding the Third Proportional to 78,570 and 169,596

Step by Step Solution

1. Step 1: Write the proportion equation
   78,570 : 169,596 = 169,596 : x
2. Step 2: Convert to fraction form
   78,570/169,596 = 169,596/x
3. Step 3: Cross multiply
   78,570x = 169,596 × 169,596
4. Step 4: Simplify right side
   78,570x = 28,762,803,216
5. Step 5: Solve for x
   x = 28,762,803,216/78,570
6. Step 6: Final answer
   x = 366,078.70