Finding the Third Proportional to 138,893 and 196,662

Step by Step Solution

1. Step 1: Write the proportion equation
   138,893 : 196,662 = 196,662 : x
2. Step 2: Convert to fraction form
   138,893/196,662 = 196,662/x
3. Step 3: Cross multiply
   138,893x = 196,662 × 196,662
4. Step 4: Simplify right side
   138,893x = 38,675,942,244
5. Step 5: Solve for x
   x = 38,675,942,244/138,893
6. Step 6: Final answer
   x = 278,458.54