Finding the Third Proportional to 262,844 and 402,150

Step by Step Solution

1. Step 1: Write the proportion equation
   262,844 : 402,150 = 402,150 : x
2. Step 2: Convert to fraction form
   262,844/402,150 = 402,150/x
3. Step 3: Cross multiply
   262,844x = 402,150 × 402,150
4. Step 4: Simplify right side
   262,844x = 161,724,622,500
5. Step 5: Solve for x
   x = 161,724,622,500/262,844
6. Step 6: Final answer
   x = 615,287.48