Finding the Third Proportional to 111,675 and 235,770

Step by Step Solution

1. Step 1: Write the proportion equation
   111,675 : 235,770 = 235,770 : x
2. Step 2: Convert to fraction form
   111,675/235,770 = 235,770/x
3. Step 3: Cross multiply
   111,675x = 235,770 × 235,770
4. Step 4: Simplify right side
   111,675x = 55,587,492,900
5. Step 5: Solve for x
   x = 55,587,492,900/111,675
6. Step 6: Final answer
   x = 497,761.30