Finding the Third Proportional to 111,718 and 217,826

Step by Step Solution

1. Step 1: Write the proportion equation
   111,718 : 217,826 = 217,826 : x
2. Step 2: Convert to fraction form
   111,718/217,826 = 217,826/x
3. Step 3: Cross multiply
   111,718x = 217,826 × 217,826
4. Step 4: Simplify right side
   111,718x = 47,448,166,276
5. Step 5: Solve for x
   x = 47,448,166,276/111,718
6. Step 6: Final answer
   x = 424,713.71