Finding the Third Proportional to 174,946 and 377,540

Step by Step Solution

1. Step 1: Write the proportion equation
   174,946 : 377,540 = 377,540 : x
2. Step 2: Convert to fraction form
   174,946/377,540 = 377,540/x
3. Step 3: Cross multiply
   174,946x = 377,540 × 377,540
4. Step 4: Simplify right side
   174,946x = 142,536,451,600
5. Step 5: Solve for x
   x = 142,536,451,600/174,946
6. Step 6: Final answer
   x = 814,745.42