Finding the Third Proportional to 173,781 and 379,494

Step by Step Solution

1. Step 1: Write the proportion equation
   173,781 : 379,494 = 379,494 : x
2. Step 2: Convert to fraction form
   173,781/379,494 = 379,494/x
3. Step 3: Cross multiply
   173,781x = 379,494 × 379,494
4. Step 4: Simplify right side
   173,781x = 144,015,696,036
5. Step 5: Solve for x
   x = 144,015,696,036/173,781
6. Step 6: Final answer
   x = 828,719.46