Finding the Third Proportional to 40,759 and 85,942

Step by Step Solution

1. Step 1: Write the proportion equation
   40,759 : 85,942 = 85,942 : x
2. Step 2: Convert to fraction form
   40,759/85,942 = 85,942/x
3. Step 3: Cross multiply
   40,759x = 85,942 × 85,942
4. Step 4: Simplify right side
   40,759x = 7,386,027,364
5. Step 5: Solve for x
   x = 7,386,027,364/40,759
6. Step 6: Final answer
   x = 181,212.18