Finding the Third Proportional to 102,142 and 216,812

Step by Step Solution

1. Step 1: Write the proportion equation
   102,142 : 216,812 = 216,812 : x
2. Step 2: Convert to fraction form
   102,142/216,812 = 216,812/x
3. Step 3: Cross multiply
   102,142x = 216,812 × 216,812
4. Step 4: Simplify right side
   102,142x = 47,007,443,344
5. Step 5: Solve for x
   x = 47,007,443,344/102,142
6. Step 6: Final answer
   x = 460,216.59