Finding the Third Proportional to 49,634 and 107,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,634 : 107,043.50 = 107,043.50 : x
2. Step 2: Convert to fraction form
   49,634/107,043.50 = 107,043.50/x
3. Step 3: Cross multiply
   49,634x = 107,043.50 × 107,043.50
4. Step 4: Simplify right side
   49,634x = 11,458,310,892.25
5. Step 5: Solve for x
   x = 11,458,310,892.25/49,634
6. Step 6: Final answer
   x = 230,856.08