Finding the Third Proportional to 262,116 and 398,038

Step by Step Solution

1. Step 1: Write the proportion equation
   262,116 : 398,038 = 398,038 : x
2. Step 2: Convert to fraction form
   262,116/398,038 = 398,038/x
3. Step 3: Cross multiply
   262,116x = 398,038 × 398,038
4. Step 4: Simplify right side
   262,116x = 158,434,249,444
5. Step 5: Solve for x
   x = 158,434,249,444/262,116
6. Step 6: Final answer
   x = 604,443.26