Finding the Third Proportional to 40,842 and 87,942

Step by Step Solution

1. Step 1: Write the proportion equation
   40,842 : 87,942 = 87,942 : x
2. Step 2: Convert to fraction form
   40,842/87,942 = 87,942/x
3. Step 3: Cross multiply
   40,842x = 87,942 × 87,942
4. Step 4: Simplify right side
   40,842x = 7,733,795,364
5. Step 5: Solve for x
   x = 7,733,795,364/40,842
6. Step 6: Final answer
   x = 189,358.88