Finding the Third Proportional to 49,658 and 101,948

Step by Step Solution

1. Step 1: Write the proportion equation
   49,658 : 101,948 = 101,948 : x
2. Step 2: Convert to fraction form
   49,658/101,948 = 101,948/x
3. Step 3: Cross multiply
   49,658x = 101,948 × 101,948
4. Step 4: Simplify right side
   49,658x = 10,393,394,704
5. Step 5: Solve for x
   x = 10,393,394,704/49,658
6. Step 6: Final answer
   x = 209,299.50