Finding the Third Proportional to 49,019.50 and 107,384

Step by Step Solution

1. Step 1: Write the proportion equation
   49,019.50 : 107,384 = 107,384 : x
2. Step 2: Convert to fraction form
   49,019.50/107,384 = 107,384/x
3. Step 3: Cross multiply
   49,019.50x = 107,384 × 107,384
4. Step 4: Simplify right side
   49,019.50x = 11,531,323,456
5. Step 5: Solve for x
   x = 11,531,323,456/49,019.50
6. Step 6: Final answer
   x = 235,239.52