Finding the Third Proportional to 78,518 and 174,451

Step by Step Solution

1. Step 1: Write the proportion equation
   78,518 : 174,451 = 174,451 : x
2. Step 2: Convert to fraction form
   78,518/174,451 = 174,451/x
3. Step 3: Cross multiply
   78,518x = 174,451 × 174,451
4. Step 4: Simplify right side
   78,518x = 30,433,151,401
5. Step 5: Solve for x
   x = 30,433,151,401/78,518
6. Step 6: Final answer
   x = 387,594.58