Finding the Third Proportional to 174,380 and 376,648

Step by Step Solution

1. Step 1: Write the proportion equation
   174,380 : 376,648 = 376,648 : x
2. Step 2: Convert to fraction form
   174,380/376,648 = 376,648/x
3. Step 3: Cross multiply
   174,380x = 376,648 × 376,648
4. Step 4: Simplify right side
   174,380x = 141,863,715,904
5. Step 5: Solve for x
   x = 141,863,715,904/174,380
6. Step 6: Final answer
   x = 813,532.03