Finding the Third Proportional to 126,644 and 188,014

Step by Step Solution

1. Step 1: Write the proportion equation
   126,644 : 188,014 = 188,014 : x
2. Step 2: Convert to fraction form
   126,644/188,014 = 188,014/x
3. Step 3: Cross multiply
   126,644x = 188,014 × 188,014
4. Step 4: Simplify right side
   126,644x = 35,349,264,196
5. Step 5: Solve for x
   x = 35,349,264,196/126,644
6. Step 6: Final answer
   x = 279,123.09