Finding the Third Proportional to 353,120 and 530,469

Step by Step Solution

1. Step 1: Write the proportion equation
   353,120 : 530,469 = 530,469 : x
2. Step 2: Convert to fraction form
   353,120/530,469 = 530,469/x
3. Step 3: Cross multiply
   353,120x = 530,469 × 530,469
4. Step 4: Simplify right side
   353,120x = 281,397,359,961
5. Step 5: Solve for x
   x = 281,397,359,961/353,120
6. Step 6: Final answer
   x = 796,888.76