Finding the Third Proportional to 123,022 and 260,732

Step by Step Solution

1. Step 1: Write the proportion equation
   123,022 : 260,732 = 260,732 : x
2. Step 2: Convert to fraction form
   123,022/260,732 = 260,732/x
3. Step 3: Cross multiply
   123,022x = 260,732 × 260,732
4. Step 4: Simplify right side
   123,022x = 67,981,175,824
5. Step 5: Solve for x
   x = 67,981,175,824/123,022
6. Step 6: Final answer
   x = 552,593.65