Finding the Third Proportional to 174,856 and 379,084

Step by Step Solution

1. Step 1: Write the proportion equation
   174,856 : 379,084 = 379,084 : x
2. Step 2: Convert to fraction form
   174,856/379,084 = 379,084/x
3. Step 3: Cross multiply
   174,856x = 379,084 × 379,084
4. Step 4: Simplify right side
   174,856x = 143,704,679,056
5. Step 5: Solve for x
   x = 143,704,679,056/174,856
6. Step 6: Final answer
   x = 821,845.86