Finding the Third Proportional to 680,103 and 1,466,412

Step by Step Solution

1. Step 1: Write the proportion equation
   680,103 : 1,466,412 = 1,466,412 : x
2. Step 2: Convert to fraction form
   680,103/1,466,412 = 1,466,412/x
3. Step 3: Cross multiply
   680,103x = 1,466,412 × 1,466,412
4. Step 4: Simplify right side
   680,103x = 2,150,364,153,744
5. Step 5: Solve for x
   x = 2,150,364,153,744/680,103
6. Step 6: Final answer
   x = 3,161,821.30