Finding the Third Proportional to 76,166 and 113,799

Step by Step Solution

1. Step 1: Write the proportion equation
   76,166 : 113,799 = 113,799 : x
2. Step 2: Convert to fraction form
   76,166/113,799 = 113,799/x
3. Step 3: Cross multiply
   76,166x = 113,799 × 113,799
4. Step 4: Simplify right side
   76,166x = 12,950,212,401
5. Step 5: Solve for x
   x = 12,950,212,401/76,166
6. Step 6: Final answer
   x = 170,026.16