Finding the Third Proportional to 111,804 and 171,600

Step by Step Solution

1. Step 1: Write the proportion equation
   111,804 : 171,600 = 171,600 : x
2. Step 2: Convert to fraction form
   111,804/171,600 = 171,600/x
3. Step 3: Cross multiply
   111,804x = 171,600 × 171,600
4. Step 4: Simplify right side
   111,804x = 29,446,560,000
5. Step 5: Solve for x
   x = 29,446,560,000/111,804
6. Step 6: Final answer
   x = 263,376.62