Finding the Third Proportional to 678,800 and 1,006,458

Step by Step Solution

1. Step 1: Write the proportion equation
   678,800 : 1,006,458 = 1,006,458 : x
2. Step 2: Convert to fraction form
   678,800/1,006,458 = 1,006,458/x
3. Step 3: Cross multiply
   678,800x = 1,006,458 × 1,006,458
4. Step 4: Simplify right side
   678,800x = 1,012,957,705,764
5. Step 5: Solve for x
   x = 1,012,957,705,764/678,800
6. Step 6: Final answer
   x = 1,492,277.12