Finding the Third Proportional to 105,908 and 232,805.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,908 : 232,805.50 = 232,805.50 : x
2. Step 2: Convert to fraction form
   105,908/232,805.50 = 232,805.50/x
3. Step 3: Cross multiply
   105,908x = 232,805.50 × 232,805.50
4. Step 4: Simplify right side
   105,908x = 54,198,400,830.25
5. Step 5: Solve for x
   x = 54,198,400,830.25/105,908
6. Step 6: Final answer
   x = 511,749.83