Finding the Third Proportional to 81,946 and 116,055

Step by Step Solution

1. Step 1: Write the proportion equation
   81,946 : 116,055 = 116,055 : x
2. Step 2: Convert to fraction form
   81,946/116,055 = 116,055/x
3. Step 3: Cross multiply
   81,946x = 116,055 × 116,055
4. Step 4: Simplify right side
   81,946x = 13,468,763,025
5. Step 5: Solve for x
   x = 13,468,763,025/81,946
6. Step 6: Final answer
   x = 164,361.45