Finding the Third Proportional to 142,922 and 196,156

Step by Step Solution

1. Step 1: Write the proportion equation
   142,922 : 196,156 = 196,156 : x
2. Step 2: Convert to fraction form
   142,922/196,156 = 196,156/x
3. Step 3: Cross multiply
   142,922x = 196,156 × 196,156
4. Step 4: Simplify right side
   142,922x = 38,477,176,336
5. Step 5: Solve for x
   x = 38,477,176,336/142,922
6. Step 6: Final answer
   x = 269,218.01