Finding the Third Proportional to 55,726 and 108,662

Step by Step Solution

1. Step 1: Write the proportion equation
   55,726 : 108,662 = 108,662 : x
2. Step 2: Convert to fraction form
   55,726/108,662 = 108,662/x
3. Step 3: Cross multiply
   55,726x = 108,662 × 108,662
4. Step 4: Simplify right side
   55,726x = 11,807,430,244
5. Step 5: Solve for x
   x = 11,807,430,244/55,726
6. Step 6: Final answer
   x = 211,883.69