Finding the Third Proportional to 80,140 and 185,520

Step by Step Solution

1. Step 1: Write the proportion equation
   80,140 : 185,520 = 185,520 : x
2. Step 2: Convert to fraction form
   80,140/185,520 = 185,520/x
3. Step 3: Cross multiply
   80,140x = 185,520 × 185,520
4. Step 4: Simplify right side
   80,140x = 34,417,670,400
5. Step 5: Solve for x
   x = 34,417,670,400/80,140
6. Step 6: Final answer
   x = 429,469.31