Finding the Third Proportional to 101,919 and 216,172

Step by Step Solution

1. Step 1: Write the proportion equation
   101,919 : 216,172 = 216,172 : x
2. Step 2: Convert to fraction form
   101,919/216,172 = 216,172/x
3. Step 3: Cross multiply
   101,919x = 216,172 × 216,172
4. Step 4: Simplify right side
   101,919x = 46,730,333,584
5. Step 5: Solve for x
   x = 46,730,333,584/101,919
6. Step 6: Final answer
   x = 458,504.63