Finding the Third Proportional to 123,986 and 159,195

Step by Step Solution

1. Step 1: Write the proportion equation
   123,986 : 159,195 = 159,195 : x
2. Step 2: Convert to fraction form
   123,986/159,195 = 159,195/x
3. Step 3: Cross multiply
   123,986x = 159,195 × 159,195
4. Step 4: Simplify right side
   123,986x = 25,343,048,025
5. Step 5: Solve for x
   x = 25,343,048,025/123,986
6. Step 6: Final answer
   x = 204,402.50