Finding the Third Proportional to 50,946 and 103,266

Step by Step Solution

1. Step 1: Write the proportion equation
   50,946 : 103,266 = 103,266 : x
2. Step 2: Convert to fraction form
   50,946/103,266 = 103,266/x
3. Step 3: Cross multiply
   50,946x = 103,266 × 103,266
4. Step 4: Simplify right side
   50,946x = 10,663,866,756
5. Step 5: Solve for x
   x = 10,663,866,756/50,946
6. Step 6: Final answer
   x = 209,317.06