Finding the Third Proportional to 55,674 and 86,223

Step by Step Solution

1. Step 1: Write the proportion equation
   55,674 : 86,223 = 86,223 : x
2. Step 2: Convert to fraction form
   55,674/86,223 = 86,223/x
3. Step 3: Cross multiply
   55,674x = 86,223 × 86,223
4. Step 4: Simplify right side
   55,674x = 7,434,405,729
5. Step 5: Solve for x
   x = 7,434,405,729/55,674
6. Step 6: Final answer
   x = 133,534.61