Finding the Third Proportional to 53,149.50 and 107,838

Step by Step Solution

1. Step 1: Write the proportion equation
   53,149.50 : 107,838 = 107,838 : x
2. Step 2: Convert to fraction form
   53,149.50/107,838 = 107,838/x
3. Step 3: Cross multiply
   53,149.50x = 107,838 × 107,838
4. Step 4: Simplify right side
   53,149.50x = 11,629,034,244
5. Step 5: Solve for x
   x = 11,629,034,244/53,149.50
6. Step 6: Final answer
   x = 218,798.56