Finding the Third Proportional to 55,729 and 108,665

Step by Step Solution

1. Step 1: Write the proportion equation
   55,729 : 108,665 = 108,665 : x
2. Step 2: Convert to fraction form
   55,729/108,665 = 108,665/x
3. Step 3: Cross multiply
   55,729x = 108,665 × 108,665
4. Step 4: Simplify right side
   55,729x = 11,808,082,225
5. Step 5: Solve for x
   x = 11,808,082,225/55,729
6. Step 6: Final answer
   x = 211,883.98