Finding the Third Proportional to 206,478 and 457,174.69

Step by Step Solution

1. Step 1: Write the proportion equation
   206,478 : 457,174.69 = 457,174.69 : x
2. Step 2: Convert to fraction form
   206,478/457,174.69 = 457,174.69/x
3. Step 3: Cross multiply
   206,478x = 457,174.69 × 457,174.69
4. Step 4: Simplify right side
   206,478x = 209,008,694,890.72
5. Step 5: Solve for x
   x = 209,008,694,890.72/206,478
6. Step 6: Final answer
   x = 1,012,256.49