Finding the Third Proportional to 76,942 and 173,643

Step by Step Solution

1. Step 1: Write the proportion equation
   76,942 : 173,643 = 173,643 : x
2. Step 2: Convert to fraction form
   76,942/173,643 = 173,643/x
3. Step 3: Cross multiply
   76,942x = 173,643 × 173,643
4. Step 4: Simplify right side
   76,942x = 30,151,891,449
5. Step 5: Solve for x
   x = 30,151,891,449/76,942
6. Step 6: Final answer
   x = 391,878.19