Finding the Third Proportional to 85,260 and 185,508

Step by Step Solution

1. Step 1: Write the proportion equation
   85,260 : 185,508 = 185,508 : x
2. Step 2: Convert to fraction form
   85,260/185,508 = 185,508/x
3. Step 3: Cross multiply
   85,260x = 185,508 × 185,508
4. Step 4: Simplify right side
   85,260x = 34,413,218,064
5. Step 5: Solve for x
   x = 34,413,218,064/85,260
6. Step 6: Final answer
   x = 403,626.77