Finding the Third Proportional to 111,384 and 262,665

Step by Step Solution

1. Step 1: Write the proportion equation
   111,384 : 262,665 = 262,665 : x
2. Step 2: Convert to fraction form
   111,384/262,665 = 262,665/x
3. Step 3: Cross multiply
   111,384x = 262,665 × 262,665
4. Step 4: Simplify right side
   111,384x = 68,992,902,225
5. Step 5: Solve for x
   x = 68,992,902,225/111,384
6. Step 6: Final answer
   x = 619,414.84