Finding the Third Proportional to 111,966 and 236,566

Step by Step Solution

1. Step 1: Write the proportion equation
   111,966 : 236,566 = 236,566 : x
2. Step 2: Convert to fraction form
   111,966/236,566 = 236,566/x
3. Step 3: Cross multiply
   111,966x = 236,566 × 236,566
4. Step 4: Simplify right side
   111,966x = 55,963,472,356
5. Step 5: Solve for x
   x = 55,963,472,356/111,966
6. Step 6: Final answer
   x = 499,825.59