Finding the Third Proportional to 58,124 and 123,223

Step by Step Solution

1. Step 1: Write the proportion equation
   58,124 : 123,223 = 123,223 : x
2. Step 2: Convert to fraction form
   58,124/123,223 = 123,223/x
3. Step 3: Cross multiply
   58,124x = 123,223 × 123,223
4. Step 4: Simplify right side
   58,124x = 15,183,907,729
5. Step 5: Solve for x
   x = 15,183,907,729/58,124
6. Step 6: Final answer
   x = 261,233.01