Finding the Third Proportional to 78,554 and 169,564

Step by Step Solution

1. Step 1: Write the proportion equation
   78,554 : 169,564 = 169,564 : x
2. Step 2: Convert to fraction form
   78,554/169,564 = 169,564/x
3. Step 3: Cross multiply
   78,554x = 169,564 × 169,564
4. Step 4: Simplify right side
   78,554x = 28,751,950,096
5. Step 5: Solve for x
   x = 28,751,950,096/78,554
6. Step 6: Final answer
   x = 366,015.10