Finding the Third Proportional to 84,682 and 116,223

Step by Step Solution

1. Step 1: Write the proportion equation
   84,682 : 116,223 = 116,223 : x
2. Step 2: Convert to fraction form
   84,682/116,223 = 116,223/x
3. Step 3: Cross multiply
   84,682x = 116,223 × 116,223
4. Step 4: Simplify right side
   84,682x = 13,507,785,729
5. Step 5: Solve for x
   x = 13,507,785,729/84,682
6. Step 6: Final answer
   x = 159,511.89