Finding the Third Proportional to 78,540 and 174,502

Step by Step Solution

1. Step 1: Write the proportion equation
   78,540 : 174,502 = 174,502 : x
2. Step 2: Convert to fraction form
   78,540/174,502 = 174,502/x
3. Step 3: Cross multiply
   78,540x = 174,502 × 174,502
4. Step 4: Simplify right side
   78,540x = 30,450,948,004
5. Step 5: Solve for x
   x = 30,450,948,004/78,540
6. Step 6: Final answer
   x = 387,712.61