Finding the Third Proportional to 49,046 and 103,978

Step by Step Solution

1. Step 1: Write the proportion equation
   49,046 : 103,978 = 103,978 : x
2. Step 2: Convert to fraction form
   49,046/103,978 = 103,978/x
3. Step 3: Cross multiply
   49,046x = 103,978 × 103,978
4. Step 4: Simplify right side
   49,046x = 10,811,424,484
5. Step 5: Solve for x
   x = 10,811,424,484/49,046
6. Step 6: Final answer
   x = 220,434.38