Finding the Third Proportional to 111,307 and 262,486

Step by Step Solution

1. Step 1: Write the proportion equation
   111,307 : 262,486 = 262,486 : x
2. Step 2: Convert to fraction form
   111,307/262,486 = 262,486/x
3. Step 3: Cross multiply
   111,307x = 262,486 × 262,486
4. Step 4: Simplify right side
   111,307x = 68,898,900,196
5. Step 5: Solve for x
   x = 68,898,900,196/111,307
6. Step 6: Final answer
   x = 618,998.81