Finding the Third Proportional to 111,534 and 233,974

Step by Step Solution

1. Step 1: Write the proportion equation
   111,534 : 233,974 = 233,974 : x
2. Step 2: Convert to fraction form
   111,534/233,974 = 233,974/x
3. Step 3: Cross multiply
   111,534x = 233,974 × 233,974
4. Step 4: Simplify right side
   111,534x = 54,743,832,676
5. Step 5: Solve for x
   x = 54,743,832,676/111,534
6. Step 6: Final answer
   x = 490,826.41