Finding the Third Proportional to 49,185.50 and 105,539

Step by Step Solution

1. Step 1: Write the proportion equation
   49,185.50 : 105,539 = 105,539 : x
2. Step 2: Convert to fraction form
   49,185.50/105,539 = 105,539/x
3. Step 3: Cross multiply
   49,185.50x = 105,539 × 105,539
4. Step 4: Simplify right side
   49,185.50x = 11,138,480,521
5. Step 5: Solve for x
   x = 11,138,480,521/49,185.50
6. Step 6: Final answer
   x = 226,458.62