Finding the Third Proportional to 85,250 and 185,764

Step by Step Solution

1. Step 1: Write the proportion equation
   85,250 : 185,764 = 185,764 : x
2. Step 2: Convert to fraction form
   85,250/185,764 = 185,764/x
3. Step 3: Cross multiply
   85,250x = 185,764 × 185,764
4. Step 4: Simplify right side
   85,250x = 34,508,263,696
5. Step 5: Solve for x
   x = 34,508,263,696/85,250
6. Step 6: Final answer
   x = 404,789.02