Finding the Third Proportional to 215,724 and 470,376

Step by Step Solution

1. Step 1: Write the proportion equation
   215,724 : 470,376 = 470,376 : x
2. Step 2: Convert to fraction form
   215,724/470,376 = 470,376/x
3. Step 3: Cross multiply
   215,724x = 470,376 × 470,376
4. Step 4: Simplify right side
   215,724x = 221,253,581,376
5. Step 5: Solve for x
   x = 221,253,581,376/215,724
6. Step 6: Final answer
   x = 1,025,632.67