Finding the Third Proportional to 49,959 and 107,023.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,959 : 107,023.50 = 107,023.50 : x
2. Step 2: Convert to fraction form
   49,959/107,023.50 = 107,023.50/x
3. Step 3: Cross multiply
   49,959x = 107,023.50 × 107,023.50
4. Step 4: Simplify right side
   49,959x = 11,454,029,552.25
5. Step 5: Solve for x
   x = 11,454,029,552.25/49,959
6. Step 6: Final answer
   x = 229,268.59