Finding the Third Proportional to 46,530 and 101,862

Step by Step Solution

1. Step 1: Write the proportion equation
   46,530 : 101,862 = 101,862 : x
2. Step 2: Convert to fraction form
   46,530/101,862 = 101,862/x
3. Step 3: Cross multiply
   46,530x = 101,862 × 101,862
4. Step 4: Simplify right side
   46,530x = 10,375,867,044
5. Step 5: Solve for x
   x = 10,375,867,044/46,530
6. Step 6: Final answer
   x = 222,993.06