Finding the Third Proportional to 216,124 and 465,538

Step by Step Solution

1. Step 1: Write the proportion equation
   216,124 : 465,538 = 465,538 : x
2. Step 2: Convert to fraction form
   216,124/465,538 = 465,538/x
3. Step 3: Cross multiply
   216,124x = 465,538 × 465,538
4. Step 4: Simplify right side
   216,124x = 216,725,629,444
5. Step 5: Solve for x
   x = 216,725,629,444/216,124
6. Step 6: Final answer
   x = 1,002,783.72