Finding the Third Proportional to 77,676 and 169,986

Step by Step Solution

1. Step 1: Write the proportion equation
   77,676 : 169,986 = 169,986 : x
2. Step 2: Convert to fraction form
   77,676/169,986 = 169,986/x
3. Step 3: Cross multiply
   77,676x = 169,986 × 169,986
4. Step 4: Simplify right side
   77,676x = 28,895,240,196
5. Step 5: Solve for x
   x = 28,895,240,196/77,676
6. Step 6: Final answer
   x = 371,997.02