Finding the Third Proportional to 53,878.50 and 117,198

Step by Step Solution

1. Step 1: Write the proportion equation
   53,878.50 : 117,198 = 117,198 : x
2. Step 2: Convert to fraction form
   53,878.50/117,198 = 117,198/x
3. Step 3: Cross multiply
   53,878.50x = 117,198 × 117,198
4. Step 4: Simplify right side
   53,878.50x = 13,735,371,204
5. Step 5: Solve for x
   x = 13,735,371,204/53,878.50
6. Step 6: Final answer
   x = 254,932.32