Finding the Third Proportional to 83,452 and 185,561

Step by Step Solution

1. Step 1: Write the proportion equation
   83,452 : 185,561 = 185,561 : x
2. Step 2: Convert to fraction form
   83,452/185,561 = 185,561/x
3. Step 3: Cross multiply
   83,452x = 185,561 × 185,561
4. Step 4: Simplify right side
   83,452x = 34,432,884,721
5. Step 5: Solve for x
   x = 34,432,884,721/83,452
6. Step 6: Final answer
   x = 412,607.06