Finding the Third Proportional to 81,936 and 116,040

Step by Step Solution

1. Step 1: Write the proportion equation
   81,936 : 116,040 = 116,040 : x
2. Step 2: Convert to fraction form
   81,936/116,040 = 116,040/x
3. Step 3: Cross multiply
   81,936x = 116,040 × 116,040
4. Step 4: Simplify right side
   81,936x = 13,465,281,600
5. Step 5: Solve for x
   x = 13,465,281,600/81,936
6. Step 6: Final answer
   x = 164,339.02