Finding the Third Proportional to 50,948 and 103,270

Step by Step Solution

1. Step 1: Write the proportion equation
   50,948 : 103,270 = 103,270 : x
2. Step 2: Convert to fraction form
   50,948/103,270 = 103,270/x
3. Step 3: Cross multiply
   50,948x = 103,270 × 103,270
4. Step 4: Simplify right side
   50,948x = 10,664,692,900
5. Step 5: Solve for x
   x = 10,664,692,900/50,948
6. Step 6: Final answer
   x = 209,325.05