Finding the Third Proportional to 174,658 and 263,004

Step by Step Solution

1. Step 1: Write the proportion equation
   174,658 : 263,004 = 263,004 : x
2. Step 2: Convert to fraction form
   174,658/263,004 = 263,004/x
3. Step 3: Cross multiply
   174,658x = 263,004 × 263,004
4. Step 4: Simplify right side
   174,658x = 69,171,104,016
5. Step 5: Solve for x
   x = 69,171,104,016/174,658
6. Step 6: Final answer
   x = 396,037.42