Finding the Third Proportional to 102,427 and 213,028

Step by Step Solution

1. Step 1: Write the proportion equation
   102,427 : 213,028 = 213,028 : x
2. Step 2: Convert to fraction form
   102,427/213,028 = 213,028/x
3. Step 3: Cross multiply
   102,427x = 213,028 × 213,028
4. Step 4: Simplify right side
   102,427x = 45,380,928,784
5. Step 5: Solve for x
   x = 45,380,928,784/102,427
6. Step 6: Final answer
   x = 443,056.31