Finding the Third Proportional to 174,640 and 262,980

Step by Step Solution

1. Step 1: Write the proportion equation
   174,640 : 262,980 = 262,980 : x
2. Step 2: Convert to fraction form
   174,640/262,980 = 262,980/x
3. Step 3: Cross multiply
   174,640x = 262,980 × 262,980
4. Step 4: Simplify right side
   174,640x = 69,158,480,400
5. Step 5: Solve for x
   x = 69,158,480,400/174,640
6. Step 6: Final answer
   x = 396,005.96