Finding the Third Proportional to 111,770 and 217,916

Step by Step Solution

1. Step 1: Write the proportion equation
   111,770 : 217,916 = 217,916 : x
2. Step 2: Convert to fraction form
   111,770/217,916 = 217,916/x
3. Step 3: Cross multiply
   111,770x = 217,916 × 217,916
4. Step 4: Simplify right side
   111,770x = 47,487,383,056
5. Step 5: Solve for x
   x = 47,487,383,056/111,770
6. Step 6: Final answer
   x = 424,866.99