Finding the Third Proportional to 31,305 and 65,198

Step by Step Solution

1. Step 1: Write the proportion equation
   31,305 : 65,198 = 65,198 : x
2. Step 2: Convert to fraction form
   31,305/65,198 = 65,198/x
3. Step 3: Cross multiply
   31,305x = 65,198 × 65,198
4. Step 4: Simplify right side
   31,305x = 4,250,779,204
5. Step 5: Solve for x
   x = 4,250,779,204/31,305
6. Step 6: Final answer
   x = 135,785.95