Finding the Third Proportional to 111,330 and 262,656

Step by Step Solution

1. Step 1: Write the proportion equation
   111,330 : 262,656 = 262,656 : x
2. Step 2: Convert to fraction form
   111,330/262,656 = 262,656/x
3. Step 3: Cross multiply
   111,330x = 262,656 × 262,656
4. Step 4: Simplify right side
   111,330x = 68,988,174,336
5. Step 5: Solve for x
   x = 68,988,174,336/111,330
6. Step 6: Final answer
   x = 619,672.81