Finding the Third Proportional to 111,765 and 217,908

Step by Step Solution

1. Step 1: Write the proportion equation
   111,765 : 217,908 = 217,908 : x
2. Step 2: Convert to fraction form
   111,765/217,908 = 217,908/x
3. Step 3: Cross multiply
   111,765x = 217,908 × 217,908
4. Step 4: Simplify right side
   111,765x = 47,483,896,464
5. Step 5: Solve for x
   x = 47,483,896,464/111,765
6. Step 6: Final answer
   x = 424,854.80