Finding the Third Proportional to 111,366 and 233,667

Step by Step Solution

1. Step 1: Write the proportion equation
   111,366 : 233,667 = 233,667 : x
2. Step 2: Convert to fraction form
   111,366/233,667 = 233,667/x
3. Step 3: Cross multiply
   111,366x = 233,667 × 233,667
4. Step 4: Simplify right side
   111,366x = 54,600,266,889
5. Step 5: Solve for x
   x = 54,600,266,889/111,366
6. Step 6: Final answer
   x = 490,277.70