Finding the Third Proportional to 78,914 and 169,540

Step by Step Solution

1. Step 1: Write the proportion equation
   78,914 : 169,540 = 169,540 : x
2. Step 2: Convert to fraction form
   78,914/169,540 = 169,540/x
3. Step 3: Cross multiply
   78,914x = 169,540 × 169,540
4. Step 4: Simplify right side
   78,914x = 28,743,811,600
5. Step 5: Solve for x
   x = 28,743,811,600/78,914
6. Step 6: Final answer
   x = 364,242.23