Finding the Third Proportional to 215,724 and 470,382

Step by Step Solution

1. Step 1: Write the proportion equation
   215,724 : 470,382 = 470,382 : x
2. Step 2: Convert to fraction form
   215,724/470,382 = 470,382/x
3. Step 3: Cross multiply
   215,724x = 470,382 × 470,382
4. Step 4: Simplify right side
   215,724x = 221,259,225,924
5. Step 5: Solve for x
   x = 221,259,225,924/215,724
6. Step 6: Final answer
   x = 1,025,658.83