Finding the Third Proportional to 327,826 and 708,140

Step by Step Solution

1. Step 1: Write the proportion equation
   327,826 : 708,140 = 708,140 : x
2. Step 2: Convert to fraction form
   327,826/708,140 = 708,140/x
3. Step 3: Cross multiply
   327,826x = 708,140 × 708,140
4. Step 4: Simplify right side
   327,826x = 501,462,259,600
5. Step 5: Solve for x
   x = 501,462,259,600/327,826
6. Step 6: Final answer
   x = 1,529,659.82