Finding the Third Proportional to 174,960 and 374,792

Step by Step Solution

1. Step 1: Write the proportion equation
   174,960 : 374,792 = 374,792 : x
2. Step 2: Convert to fraction form
   174,960/374,792 = 374,792/x
3. Step 3: Cross multiply
   174,960x = 374,792 × 374,792
4. Step 4: Simplify right side
   174,960x = 140,469,043,264
5. Step 5: Solve for x
   x = 140,469,043,264/174,960
6. Step 6: Final answer
   x = 802,863.76