Finding the Third Proportional to 102,012 and 216,147

Step by Step Solution

1. Step 1: Write the proportion equation
   102,012 : 216,147 = 216,147 : x
2. Step 2: Convert to fraction form
   102,012/216,147 = 216,147/x
3. Step 3: Cross multiply
   102,012x = 216,147 × 216,147
4. Step 4: Simplify right side
   102,012x = 46,719,525,609
5. Step 5: Solve for x
   x = 46,719,525,609/102,012
6. Step 6: Final answer
   x = 457,980.68