Finding the Third Proportional to 85,684 and 179,126

Step by Step Solution

1. Step 1: Write the proportion equation
   85,684 : 179,126 = 179,126 : x
2. Step 2: Convert to fraction form
   85,684/179,126 = 179,126/x
3. Step 3: Cross multiply
   85,684x = 179,126 × 179,126
4. Step 4: Simplify right side
   85,684x = 32,086,123,876
5. Step 5: Solve for x
   x = 32,086,123,876/85,684
6. Step 6: Final answer
   x = 374,470.42