Finding the Third Proportional to 49,926 and 109,230

Step by Step Solution

1. Step 1: Write the proportion equation
   49,926 : 109,230 = 109,230 : x
2. Step 2: Convert to fraction form
   49,926/109,230 = 109,230/x
3. Step 3: Cross multiply
   49,926x = 109,230 × 109,230
4. Step 4: Simplify right side
   49,926x = 11,931,192,900
5. Step 5: Solve for x
   x = 11,931,192,900/49,926
6. Step 6: Final answer
   x = 238,977.54