Finding the Third Proportional to 78,786 and 116,942

Step by Step Solution

1. Step 1: Write the proportion equation
   78,786 : 116,942 = 116,942 : x
2. Step 2: Convert to fraction form
   78,786/116,942 = 116,942/x
3. Step 3: Cross multiply
   78,786x = 116,942 × 116,942
4. Step 4: Simplify right side
   78,786x = 13,675,431,364
5. Step 5: Solve for x
   x = 13,675,431,364/78,786
6. Step 6: Final answer
   x = 173,576.92