Finding the Third Proportional to 85,328 and 185,548

Step by Step Solution

1. Step 1: Write the proportion equation
   85,328 : 185,548 = 185,548 : x
2. Step 2: Convert to fraction form
   85,328/185,548 = 185,548/x
3. Step 3: Cross multiply
   85,328x = 185,548 × 185,548
4. Step 4: Simplify right side
   85,328x = 34,428,060,304
5. Step 5: Solve for x
   x = 34,428,060,304/85,328
6. Step 6: Final answer
   x = 403,479.05