Finding the Third Proportional to 111,372 and 233,680

Step by Step Solution

1. Step 1: Write the proportion equation
   111,372 : 233,680 = 233,680 : x
2. Step 2: Convert to fraction form
   111,372/233,680 = 233,680/x
3. Step 3: Cross multiply
   111,372x = 233,680 × 233,680
4. Step 4: Simplify right side
   111,372x = 54,606,342,400
5. Step 5: Solve for x
   x = 54,606,342,400/111,372
6. Step 6: Final answer
   x = 490,305.84