Finding the Third Proportional to 80,466 and 174,940

Step by Step Solution

1. Step 1: Write the proportion equation
   80,466 : 174,940 = 174,940 : x
2. Step 2: Convert to fraction form
   80,466/174,940 = 174,940/x
3. Step 3: Cross multiply
   80,466x = 174,940 × 174,940
4. Step 4: Simplify right side
   80,466x = 30,604,003,600
5. Step 5: Solve for x
   x = 30,604,003,600/80,466
6. Step 6: Final answer
   x = 380,334.60