Finding the Third Proportional to 208,162 and 457,796

Step by Step Solution

1. Step 1: Write the proportion equation
   208,162 : 457,796 = 457,796 : x
2. Step 2: Convert to fraction form
   208,162/457,796 = 457,796/x
3. Step 3: Cross multiply
   208,162x = 457,796 × 457,796
4. Step 4: Simplify right side
   208,162x = 209,577,177,616
5. Step 5: Solve for x
   x = 209,577,177,616/208,162
6. Step 6: Final answer
   x = 1,006,798.44