Finding the Third Proportional to 50,205 and 107,082

Step by Step Solution

1. Step 1: Write the proportion equation
   50,205 : 107,082 = 107,082 : x
2. Step 2: Convert to fraction form
   50,205/107,082 = 107,082/x
3. Step 3: Cross multiply
   50,205x = 107,082 × 107,082
4. Step 4: Simplify right side
   50,205x = 11,466,554,724
5. Step 5: Solve for x
   x = 11,466,554,724/50,205
6. Step 6: Final answer
   x = 228,394.68