Finding the Third Proportional to 111,774 and 242,601

Step by Step Solution

1. Step 1: Write the proportion equation
   111,774 : 242,601 = 242,601 : x
2. Step 2: Convert to fraction form
   111,774/242,601 = 242,601/x
3. Step 3: Cross multiply
   111,774x = 242,601 × 242,601
4. Step 4: Simplify right side
   111,774x = 58,855,245,201
5. Step 5: Solve for x
   x = 58,855,245,201/111,774
6. Step 6: Final answer
   x = 526,555.78