Finding the Third Proportional to 126,244 and 188,271

Step by Step Solution

1. Step 1: Write the proportion equation
   126,244 : 188,271 = 188,271 : x
2. Step 2: Convert to fraction form
   126,244/188,271 = 188,271/x
3. Step 3: Cross multiply
   126,244x = 188,271 × 188,271
4. Step 4: Simplify right side
   126,244x = 35,445,969,441
5. Step 5: Solve for x
   x = 35,445,969,441/126,244
6. Step 6: Final answer
   x = 280,773.50