Finding the Third Proportional to 51,776 and 111,022

Step by Step Solution

1. Step 1: Write the proportion equation
   51,776 : 111,022 = 111,022 : x
2. Step 2: Convert to fraction form
   51,776/111,022 = 111,022/x
3. Step 3: Cross multiply
   51,776x = 111,022 × 111,022
4. Step 4: Simplify right side
   51,776x = 12,325,884,484
5. Step 5: Solve for x
   x = 12,325,884,484/51,776
6. Step 6: Final answer
   x = 238,061.74