Finding the Third Proportional to 78,436 and 169,396

Step by Step Solution

1. Step 1: Write the proportion equation
   78,436 : 169,396 = 169,396 : x
2. Step 2: Convert to fraction form
   78,436/169,396 = 169,396/x
3. Step 3: Cross multiply
   78,436x = 169,396 × 169,396
4. Step 4: Simplify right side
   78,436x = 28,695,004,816
5. Step 5: Solve for x
   x = 28,695,004,816/78,436
6. Step 6: Final answer
   x = 365,839.73