Finding the Third Proportional to 78,526 and 172,604

Step by Step Solution

1. Step 1: Write the proportion equation
   78,526 : 172,604 = 172,604 : x
2. Step 2: Convert to fraction form
   78,526/172,604 = 172,604/x
3. Step 3: Cross multiply
   78,526x = 172,604 × 172,604
4. Step 4: Simplify right side
   78,526x = 29,792,140,816
5. Step 5: Solve for x
   x = 29,792,140,816/78,526
6. Step 6: Final answer
   x = 379,392.06