Finding the Third Proportional to 649,586 and 1,417,214

Step by Step Solution

1. Step 1: Write the proportion equation
   649,586 : 1,417,214 = 1,417,214 : x
2. Step 2: Convert to fraction form
   649,586/1,417,214 = 1,417,214/x
3. Step 3: Cross multiply
   649,586x = 1,417,214 × 1,417,214
4. Step 4: Simplify right side
   649,586x = 2,008,495,521,796
5. Step 5: Solve for x
   x = 2,008,495,521,796/649,586
6. Step 6: Final answer
   x = 3,091,962.45