Finding the Third Proportional to 85,275 and 185,040

Step by Step Solution

1. Step 1: Write the proportion equation
   85,275 : 185,040 = 185,040 : x
2. Step 2: Convert to fraction form
   85,275/185,040 = 185,040/x
3. Step 3: Cross multiply
   85,275x = 185,040 × 185,040
4. Step 4: Simplify right side
   85,275x = 34,239,801,600
5. Step 5: Solve for x
   x = 34,239,801,600/85,275
6. Step 6: Final answer
   x = 401,522.15