Finding the Third Proportional to 78,414 and 117,799

Step by Step Solution

1. Step 1: Write the proportion equation
   78,414 : 117,799 = 117,799 : x
2. Step 2: Convert to fraction form
   78,414/117,799 = 117,799/x
3. Step 3: Cross multiply
   78,414x = 117,799 × 117,799
4. Step 4: Simplify right side
   78,414x = 13,876,604,401
5. Step 5: Solve for x
   x = 13,876,604,401/78,414
6. Step 6: Final answer
   x = 176,965.90