Finding the Third Proportional to 81,426 and 116,223

Step by Step Solution

1. Step 1: Write the proportion equation
   81,426 : 116,223 = 116,223 : x
2. Step 2: Convert to fraction form
   81,426/116,223 = 116,223/x
3. Step 3: Cross multiply
   81,426x = 116,223 × 116,223
4. Step 4: Simplify right side
   81,426x = 13,507,785,729
5. Step 5: Solve for x
   x = 13,507,785,729/81,426
6. Step 6: Final answer
   x = 165,890.33