Finding the Third Proportional to 678,969 and 1,413,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   678,969 : 1,413,706.50 = 1,413,706.50 : x
2. Step 2: Convert to fraction form
   678,969/1,413,706.50 = 1,413,706.50/x
3. Step 3: Cross multiply
   678,969x = 1,413,706.50 × 1,413,706.50
4. Step 4: Simplify right side
   678,969x = 1,998,566,068,142.25
5. Step 5: Solve for x
   x = 1,998,566,068,142.25/678,969
6. Step 6: Final answer
   x = 2,943,530.66