Finding the Third Proportional to 103,627 and 160,022

Step by Step Solution

1. Step 1: Write the proportion equation
   103,627 : 160,022 = 160,022 : x
2. Step 2: Convert to fraction form
   103,627/160,022 = 160,022/x
3. Step 3: Cross multiply
   103,627x = 160,022 × 160,022
4. Step 4: Simplify right side
   103,627x = 25,607,040,484
5. Step 5: Solve for x
   x = 25,607,040,484/103,627
6. Step 6: Final answer
   x = 247,107.80