Finding the Third Proportional to 40,123 and 86,942

Step by Step Solution

1. Step 1: Write the proportion equation
   40,123 : 86,942 = 86,942 : x
2. Step 2: Convert to fraction form
   40,123/86,942 = 86,942/x
3. Step 3: Cross multiply
   40,123x = 86,942 × 86,942
4. Step 4: Simplify right side
   40,123x = 7,558,911,364
5. Step 5: Solve for x
   x = 7,558,911,364/40,123
6. Step 6: Final answer
   x = 188,393.47