Finding the Third Proportional to 225,814 and 497,708

Step by Step Solution

1. Step 1: Write the proportion equation
   225,814 : 497,708 = 497,708 : x
2. Step 2: Convert to fraction form
   225,814/497,708 = 497,708/x
3. Step 3: Cross multiply
   225,814x = 497,708 × 497,708
4. Step 4: Simplify right side
   225,814x = 247,713,253,264
5. Step 5: Solve for x
   x = 247,713,253,264/225,814
6. Step 6: Final answer
   x = 1,096,979.17