Finding the Third Proportional to 51,785 and 108,798

Step by Step Solution

1. Step 1: Write the proportion equation
   51,785 : 108,798 = 108,798 : x
2. Step 2: Convert to fraction form
   51,785/108,798 = 108,798/x
3. Step 3: Cross multiply
   51,785x = 108,798 × 108,798
4. Step 4: Simplify right side
   51,785x = 11,837,004,804
5. Step 5: Solve for x
   x = 11,837,004,804/51,785
6. Step 6: Final answer
   x = 228,579.80