Finding the Third Proportional to 105,061 and 160,022

Step by Step Solution

1. Step 1: Write the proportion equation
   105,061 : 160,022 = 160,022 : x
2. Step 2: Convert to fraction form
   105,061/160,022 = 160,022/x
3. Step 3: Cross multiply
   105,061x = 160,022 × 160,022
4. Step 4: Simplify right side
   105,061x = 25,607,040,484
5. Step 5: Solve for x
   x = 25,607,040,484/105,061
6. Step 6: Final answer
   x = 243,734.98