Finding the Third Proportional to 98,208 and 213,916

Step by Step Solution

1. Step 1: Write the proportion equation
   98,208 : 213,916 = 213,916 : x
2. Step 2: Convert to fraction form
   98,208/213,916 = 213,916/x
3. Step 3: Cross multiply
   98,208x = 213,916 × 213,916
4. Step 4: Simplify right side
   98,208x = 45,760,055,056
5. Step 5: Solve for x
   x = 45,760,055,056/98,208
6. Step 6: Final answer
   x = 465,950.38