Finding the Third Proportional to 114,118 and 171,198

Step by Step Solution

1. Step 1: Write the proportion equation
   114,118 : 171,198 = 171,198 : x
2. Step 2: Convert to fraction form
   114,118/171,198 = 171,198/x
3. Step 3: Cross multiply
   114,118x = 171,198 × 171,198
4. Step 4: Simplify right side
   114,118x = 29,308,755,204
5. Step 5: Solve for x
   x = 29,308,755,204/114,118
6. Step 6: Final answer
   x = 256,828.50