Finding the Third Proportional to 126,640 and 188,008

Step by Step Solution

1. Step 1: Write the proportion equation
   126,640 : 188,008 = 188,008 : x
2. Step 2: Convert to fraction form
   126,640/188,008 = 188,008/x
3. Step 3: Cross multiply
   126,640x = 188,008 × 188,008
4. Step 4: Simplify right side
   126,640x = 35,347,008,064
5. Step 5: Solve for x
   x = 35,347,008,064/126,640
6. Step 6: Final answer
   x = 279,114.09