Finding the Third Proportional to 349,469 and 523,650

Step by Step Solution

1. Step 1: Write the proportion equation
   349,469 : 523,650 = 523,650 : x
2. Step 2: Convert to fraction form
   349,469/523,650 = 523,650/x
3. Step 3: Cross multiply
   349,469x = 523,650 × 523,650
4. Step 4: Simplify right side
   349,469x = 274,209,322,500
5. Step 5: Solve for x
   x = 274,209,322,500/349,469
6. Step 6: Final answer
   x = 784,645.63