Finding the Third Proportional to 73,648 and 116,805

Step by Step Solution

1. Step 1: Write the proportion equation
   73,648 : 116,805 = 116,805 : x
2. Step 2: Convert to fraction form
   73,648/116,805 = 116,805/x
3. Step 3: Cross multiply
   73,648x = 116,805 × 116,805
4. Step 4: Simplify right side
   73,648x = 13,643,408,025
5. Step 5: Solve for x
   x = 13,643,408,025/73,648
6. Step 6: Final answer
   x = 185,251.58