Finding the Third Proportional to 78,406 and 169,384

Step by Step Solution

1. Step 1: Write the proportion equation
   78,406 : 169,384 = 169,384 : x
2. Step 2: Convert to fraction form
   78,406/169,384 = 169,384/x
3. Step 3: Cross multiply
   78,406x = 169,384 × 169,384
4. Step 4: Simplify right side
   78,406x = 28,690,939,456
5. Step 5: Solve for x
   x = 28,690,939,456/78,406
6. Step 6: Final answer
   x = 365,927.86