Finding the Third Proportional to 434,112 and 678,948

Step by Step Solution

1. Step 1: Write the proportion equation
   434,112 : 678,948 = 678,948 : x
2. Step 2: Convert to fraction form
   434,112/678,948 = 678,948/x
3. Step 3: Cross multiply
   434,112x = 678,948 × 678,948
4. Step 4: Simplify right side
   434,112x = 460,970,386,704
5. Step 5: Solve for x
   x = 460,970,386,704/434,112
6. Step 6: Final answer
   x = 1,061,869.72