Finding the Third Proportional to 78,478 and 169,530

Step by Step Solution

1. Step 1: Write the proportion equation
   78,478 : 169,530 = 169,530 : x
2. Step 2: Convert to fraction form
   78,478/169,530 = 169,530/x
3. Step 3: Cross multiply
   78,478x = 169,530 × 169,530
4. Step 4: Simplify right side
   78,478x = 28,740,420,900
5. Step 5: Solve for x
   x = 28,740,420,900/78,478
6. Step 6: Final answer
   x = 366,222.65