Finding the Third Proportional to 85,042 and 185,626

Step by Step Solution

1. Step 1: Write the proportion equation
   85,042 : 185,626 = 185,626 : x
2. Step 2: Convert to fraction form
   85,042/185,626 = 185,626/x
3. Step 3: Cross multiply
   85,042x = 185,626 × 185,626
4. Step 4: Simplify right side
   85,042x = 34,457,011,876
5. Step 5: Solve for x
   x = 34,457,011,876/85,042
6. Step 6: Final answer
   x = 405,176.41