Finding the Third Proportional to 126,056 and 188,196

Step by Step Solution

1. Step 1: Write the proportion equation
   126,056 : 188,196 = 188,196 : x
2. Step 2: Convert to fraction form
   126,056/188,196 = 188,196/x
3. Step 3: Cross multiply
   126,056x = 188,196 × 188,196
4. Step 4: Simplify right side
   126,056x = 35,417,734,416
5. Step 5: Solve for x
   x = 35,417,734,416/126,056
6. Step 6: Final answer
   x = 280,968.26