Finding the Third Proportional to 46,146 and 101,028

Step by Step Solution

1. Step 1: Write the proportion equation
   46,146 : 101,028 = 101,028 : x
2. Step 2: Convert to fraction form
   46,146/101,028 = 101,028/x
3. Step 3: Cross multiply
   46,146x = 101,028 × 101,028
4. Step 4: Simplify right side
   46,146x = 10,206,656,784
5. Step 5: Solve for x
   x = 10,206,656,784/46,146
6. Step 6: Final answer
   x = 221,181.83