Finding the Third Proportional to 111,572 and 261,728

Step by Step Solution

1. Step 1: Write the proportion equation
   111,572 : 261,728 = 261,728 : x
2. Step 2: Convert to fraction form
   111,572/261,728 = 261,728/x
3. Step 3: Cross multiply
   111,572x = 261,728 × 261,728
4. Step 4: Simplify right side
   111,572x = 68,501,545,984
5. Step 5: Solve for x
   x = 68,501,545,984/111,572
6. Step 6: Final answer
   x = 613,967.18