Finding the Third Proportional to 31,195 and 68,223

Step by Step Solution

1. Step 1: Write the proportion equation
   31,195 : 68,223 = 68,223 : x
2. Step 2: Convert to fraction form
   31,195/68,223 = 68,223/x
3. Step 3: Cross multiply
   31,195x = 68,223 × 68,223
4. Step 4: Simplify right side
   31,195x = 4,654,377,729
5. Step 5: Solve for x
   x = 4,654,377,729/31,195
6. Step 6: Final answer
   x = 149,202.68