Finding the Third Proportional to 678,196 and 1,461,364

Step by Step Solution

1. Step 1: Write the proportion equation
   678,196 : 1,461,364 = 1,461,364 : x
2. Step 2: Convert to fraction form
   678,196/1,461,364 = 1,461,364/x
3. Step 3: Cross multiply
   678,196x = 1,461,364 × 1,461,364
4. Step 4: Simplify right side
   678,196x = 2,135,584,740,496
5. Step 5: Solve for x
   x = 2,135,584,740,496/678,196
6. Step 6: Final answer
   x = 3,148,919.69