Finding the Third Proportional to 109,075 and 160,022

Step by Step Solution

1. Step 1: Write the proportion equation
   109,075 : 160,022 = 160,022 : x
2. Step 2: Convert to fraction form
   109,075/160,022 = 160,022/x
3. Step 3: Cross multiply
   109,075x = 160,022 × 160,022
4. Step 4: Simplify right side
   109,075x = 25,607,040,484
5. Step 5: Solve for x
   x = 25,607,040,484/109,075
6. Step 6: Final answer
   x = 234,765.44