Finding the Third Proportional to 649,584 and 1,417,212

Step by Step Solution

1. Step 1: Write the proportion equation
   649,584 : 1,417,212 = 1,417,212 : x
2. Step 2: Convert to fraction form
   649,584/1,417,212 = 1,417,212/x
3. Step 3: Cross multiply
   649,584x = 1,417,212 × 1,417,212
4. Step 4: Simplify right side
   649,584x = 2,008,489,852,944
5. Step 5: Solve for x
   x = 2,008,489,852,944/649,584
6. Step 6: Final answer
   x = 3,091,963.25