Finding the Third Proportional to 206,826 and 455,552

Step by Step Solution

1. Step 1: Write the proportion equation
   206,826 : 455,552 = 455,552 : x
2. Step 2: Convert to fraction form
   206,826/455,552 = 455,552/x
3. Step 3: Cross multiply
   206,826x = 455,552 × 455,552
4. Step 4: Simplify right side
   206,826x = 207,527,624,704
5. Step 5: Solve for x
   x = 207,527,624,704/206,826
6. Step 6: Final answer
   x = 1,003,392.34