Finding the Third Proportional to 215,792 and 470,194

Step by Step Solution

1. Step 1: Write the proportion equation
   215,792 : 470,194 = 470,194 : x
2. Step 2: Convert to fraction form
   215,792/470,194 = 470,194/x
3. Step 3: Cross multiply
   215,792x = 470,194 × 470,194
4. Step 4: Simplify right side
   215,792x = 221,082,397,636
5. Step 5: Solve for x
   x = 221,082,397,636/215,792
6. Step 6: Final answer
   x = 1,024,516.19