Finding the Third Proportional to 80,122 and 185,474

Step by Step Solution

1. Step 1: Write the proportion equation
   80,122 : 185,474 = 185,474 : x
2. Step 2: Convert to fraction form
   80,122/185,474 = 185,474/x
3. Step 3: Cross multiply
   80,122x = 185,474 × 185,474
4. Step 4: Simplify right side
   80,122x = 34,400,604,676
5. Step 5: Solve for x
   x = 34,400,604,676/80,122
6. Step 6: Final answer
   x = 429,352.80