Finding the Third Proportional to 262,848 and 402,156

Step by Step Solution

1. Step 1: Write the proportion equation
   262,848 : 402,156 = 402,156 : x
2. Step 2: Convert to fraction form
   262,848/402,156 = 402,156/x
3. Step 3: Cross multiply
   262,848x = 402,156 × 402,156
4. Step 4: Simplify right side
   262,848x = 161,729,448,336
5. Step 5: Solve for x
   x = 161,729,448,336/262,848
6. Step 6: Final answer
   x = 615,296.48