Finding the Third Proportional to 111,223 and 262,442

Step by Step Solution

1. Step 1: Write the proportion equation
   111,223 : 262,442 = 262,442 : x
2. Step 2: Convert to fraction form
   111,223/262,442 = 262,442/x
3. Step 3: Cross multiply
   111,223x = 262,442 × 262,442
4. Step 4: Simplify right side
   111,223x = 68,875,803,364
5. Step 5: Solve for x
   x = 68,875,803,364/111,223
6. Step 6: Final answer
   x = 619,258.64