Finding the Third Proportional to 174,792 and 265,410

Step by Step Solution

1. Step 1: Write the proportion equation
   174,792 : 265,410 = 265,410 : x
2. Step 2: Convert to fraction form
   174,792/265,410 = 265,410/x
3. Step 3: Cross multiply
   174,792x = 265,410 × 265,410
4. Step 4: Simplify right side
   174,792x = 70,442,468,100
5. Step 5: Solve for x
   x = 70,442,468,100/174,792
6. Step 6: Final answer
   x = 403,007.39