Finding the Third Proportional to 76,662 and 114,521

Step by Step Solution

1. Step 1: Write the proportion equation
   76,662 : 114,521 = 114,521 : x
2. Step 2: Convert to fraction form
   76,662/114,521 = 114,521/x
3. Step 3: Cross multiply
   76,662x = 114,521 × 114,521
4. Step 4: Simplify right side
   76,662x = 13,115,059,441
5. Step 5: Solve for x
   x = 13,115,059,441/76,662
6. Step 6: Final answer
   x = 171,076.41