Finding the Third Proportional to 78,514 and 169,662

Step by Step Solution

1. Step 1: Write the proportion equation
   78,514 : 169,662 = 169,662 : x
2. Step 2: Convert to fraction form
   78,514/169,662 = 169,662/x
3. Step 3: Cross multiply
   78,514x = 169,662 × 169,662
4. Step 4: Simplify right side
   78,514x = 28,785,194,244
5. Step 5: Solve for x
   x = 28,785,194,244/78,514
6. Step 6: Final answer
   x = 366,624.99