Finding the Third Proportional to 78,538 and 174,498

Step by Step Solution

1. Step 1: Write the proportion equation
   78,538 : 174,498 = 174,498 : x
2. Step 2: Convert to fraction form
   78,538/174,498 = 174,498/x
3. Step 3: Cross multiply
   78,538x = 174,498 × 174,498
4. Step 4: Simplify right side
   78,538x = 30,449,552,004
5. Step 5: Solve for x
   x = 30,449,552,004/78,538
6. Step 6: Final answer
   x = 387,704.70