Finding the Third Proportional to 111,217 and 262,431

Step by Step Solution

1. Step 1: Write the proportion equation
   111,217 : 262,431 = 262,431 : x
2. Step 2: Convert to fraction form
   111,217/262,431 = 262,431/x
3. Step 3: Cross multiply
   111,217x = 262,431 × 262,431
4. Step 4: Simplify right side
   111,217x = 68,870,029,761
5. Step 5: Solve for x
   x = 68,870,029,761/111,217
6. Step 6: Final answer
   x = 619,240.13