Finding the Third Proportional to 85,311 and 185,749

Step by Step Solution

1. Step 1: Write the proportion equation
   85,311 : 185,749 = 185,749 : x
2. Step 2: Convert to fraction form
   85,311/185,749 = 185,749/x
3. Step 3: Cross multiply
   85,311x = 185,749 × 185,749
4. Step 4: Simplify right side
   85,311x = 34,502,691,001
5. Step 5: Solve for x
   x = 34,502,691,001/85,311
6. Step 6: Final answer
   x = 404,434.26