Finding the Third Proportional to 31,123 and 68,293

Step by Step Solution

1. Step 1: Write the proportion equation
   31,123 : 68,293 = 68,293 : x
2. Step 2: Convert to fraction form
   31,123/68,293 = 68,293/x
3. Step 3: Cross multiply
   31,123x = 68,293 × 68,293
4. Step 4: Simplify right side
   31,123x = 4,663,933,849
5. Step 5: Solve for x
   x = 4,663,933,849/31,123
6. Step 6: Final answer
   x = 149,854.89