Finding the Third Proportional to 78,662 and 116,805

Step by Step Solution

1. Step 1: Write the proportion equation
   78,662 : 116,805 = 116,805 : x
2. Step 2: Convert to fraction form
   78,662/116,805 = 116,805/x
3. Step 3: Cross multiply
   78,662x = 116,805 × 116,805
4. Step 4: Simplify right side
   78,662x = 13,643,408,025
5. Step 5: Solve for x
   x = 13,643,408,025/78,662
6. Step 6: Final answer
   x = 173,443.44