Finding the Third Proportional to 78,496 and 169,872

Step by Step Solution

1. Step 1: Write the proportion equation
   78,496 : 169,872 = 169,872 : x
2. Step 2: Convert to fraction form
   78,496/169,872 = 169,872/x
3. Step 3: Cross multiply
   78,496x = 169,872 × 169,872
4. Step 4: Simplify right side
   78,496x = 28,856,496,384
5. Step 5: Solve for x
   x = 28,856,496,384/78,496
6. Step 6: Final answer
   x = 367,617.41