Finding the Third Proportional to 55,779 and 108,755.25

Step by Step Solution

1. Step 1: Write the proportion equation
   55,779 : 108,755.25 = 108,755.25 : x
2. Step 2: Convert to fraction form
   55,779/108,755.25 = 108,755.25/x
3. Step 3: Cross multiply
   55,779x = 108,755.25 × 108,755.25
4. Step 4: Simplify right side
   55,779x = 11,827,704,402.56
5. Step 5: Solve for x
   x = 11,827,704,402.56/55,779
6. Step 6: Final answer
   x = 212,045.83