Finding the Third Proportional to 80,402 and 169,726

Step by Step Solution

1. Step 1: Write the proportion equation
   80,402 : 169,726 = 169,726 : x
2. Step 2: Convert to fraction form
   80,402/169,726 = 169,726/x
3. Step 3: Cross multiply
   80,402x = 169,726 × 169,726
4. Step 4: Simplify right side
   80,402x = 28,806,915,076
5. Step 5: Solve for x
   x = 28,806,915,076/80,402
6. Step 6: Final answer
   x = 358,286.05