Finding the Third Proportional to 680,414 and 1,464,832

Step by Step Solution

1. Step 1: Write the proportion equation
   680,414 : 1,464,832 = 1,464,832 : x
2. Step 2: Convert to fraction form
   680,414/1,464,832 = 1,464,832/x
3. Step 3: Cross multiply
   680,414x = 1,464,832 × 1,464,832
4. Step 4: Simplify right side
   680,414x = 2,145,732,788,224
5. Step 5: Solve for x
   x = 2,145,732,788,224/680,414
6. Step 6: Final answer
   x = 3,153,569.43