Finding the Third Proportional to 49,514 and 100,948

Step by Step Solution

1. Step 1: Write the proportion equation
   49,514 : 100,948 = 100,948 : x
2. Step 2: Convert to fraction form
   49,514/100,948 = 100,948/x
3. Step 3: Cross multiply
   49,514x = 100,948 × 100,948
4. Step 4: Simplify right side
   49,514x = 10,190,498,704
5. Step 5: Solve for x
   x = 10,190,498,704/49,514
6. Step 6: Final answer
   x = 205,810.45