Finding the Third Proportional to 49,644 and 107,059.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,644 : 107,059.50 = 107,059.50 : x
2. Step 2: Convert to fraction form
   49,644/107,059.50 = 107,059.50/x
3. Step 3: Cross multiply
   49,644x = 107,059.50 × 107,059.50
4. Step 4: Simplify right side
   49,644x = 11,461,736,540.25
5. Step 5: Solve for x
   x = 11,461,736,540.25/49,644
6. Step 6: Final answer
   x = 230,878.59