Finding the Third Proportional to 174,404 and 376,684

Step by Step Solution

1. Step 1: Write the proportion equation
   174,404 : 376,684 = 376,684 : x
2. Step 2: Convert to fraction form
   174,404/376,684 = 376,684/x
3. Step 3: Cross multiply
   174,404x = 376,684 × 376,684
4. Step 4: Simplify right side
   174,404x = 141,890,835,856
5. Step 5: Solve for x
   x = 141,890,835,856/174,404
6. Step 6: Final answer
   x = 813,575.58