Finding the Third Proportional to 49,926 and 108,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,926 : 108,668.50 = 108,668.50 : x
2. Step 2: Convert to fraction form
   49,926/108,668.50 = 108,668.50/x
3. Step 3: Cross multiply
   49,926x = 108,668.50 × 108,668.50
4. Step 4: Simplify right side
   49,926x = 11,808,842,892.25
5. Step 5: Solve for x
   x = 11,808,842,892.25/49,926
6. Step 6: Final answer
   x = 236,526.92