Finding the Third Proportional to 46,814 and 101,142

Step by Step Solution

1. Step 1: Write the proportion equation
   46,814 : 101,142 = 101,142 : x
2. Step 2: Convert to fraction form
   46,814/101,142 = 101,142/x
3. Step 3: Cross multiply
   46,814x = 101,142 × 101,142
4. Step 4: Simplify right side
   46,814x = 10,229,704,164
5. Step 5: Solve for x
   x = 10,229,704,164/46,814
6. Step 6: Final answer
   x = 218,518.05