Finding the Third Proportional to 78,525 and 174,474

Step by Step Solution

1. Step 1: Write the proportion equation
   78,525 : 174,474 = 174,474 : x
2. Step 2: Convert to fraction form
   78,525/174,474 = 174,474/x
3. Step 3: Cross multiply
   78,525x = 174,474 × 174,474
4. Step 4: Simplify right side
   78,525x = 30,441,176,676
5. Step 5: Solve for x
   x = 30,441,176,676/78,525
6. Step 6: Final answer
   x = 387,662.23