Finding the Third Proportional to 80,418 and 175,840

Step by Step Solution

1. Step 1: Write the proportion equation
   80,418 : 175,840 = 175,840 : x
2. Step 2: Convert to fraction form
   80,418/175,840 = 175,840/x
3. Step 3: Cross multiply
   80,418x = 175,840 × 175,840
4. Step 4: Simplify right side
   80,418x = 30,919,705,600
5. Step 5: Solve for x
   x = 30,919,705,600/80,418
6. Step 6: Final answer
   x = 384,487.37