Finding the Third Proportional to 678,840 and 1,006,506

Step by Step Solution

1. Step 1: Write the proportion equation
   678,840 : 1,006,506 = 1,006,506 : x
2. Step 2: Convert to fraction form
   678,840/1,006,506 = 1,006,506/x
3. Step 3: Cross multiply
   678,840x = 1,006,506 × 1,006,506
4. Step 4: Simplify right side
   678,840x = 1,013,054,328,036
5. Step 5: Solve for x
   x = 1,013,054,328,036/678,840
6. Step 6: Final answer
   x = 1,492,331.52