Finding the Third Proportional to 83,993.50 and 121,022

Step by Step Solution

1. Step 1: Write the proportion equation
   83,993.50 : 121,022 = 121,022 : x
2. Step 2: Convert to fraction form
   83,993.50/121,022 = 121,022/x
3. Step 3: Cross multiply
   83,993.50x = 121,022 × 121,022
4. Step 4: Simplify right side
   83,993.50x = 14,646,324,484
5. Step 5: Solve for x
   x = 14,646,324,484/83,993.50
6. Step 6: Final answer
   x = 174,374.50