Finding the Third Proportional to 161,569 and 342,820

Step by Step Solution

1. Step 1: Write the proportion equation
   161,569 : 342,820 = 342,820 : x
2. Step 2: Convert to fraction form
   161,569/342,820 = 342,820/x
3. Step 3: Cross multiply
   161,569x = 342,820 × 342,820
4. Step 4: Simplify right side
   161,569x = 117,525,552,400
5. Step 5: Solve for x
   x = 117,525,552,400/161,569
6. Step 6: Final answer
   x = 727,401.62