Finding the Third Proportional to 216,098 and 471,564

Step by Step Solution

1. Step 1: Write the proportion equation
   216,098 : 471,564 = 471,564 : x
2. Step 2: Convert to fraction form
   216,098/471,564 = 471,564/x
3. Step 3: Cross multiply
   216,098x = 471,564 × 471,564
4. Step 4: Simplify right side
   216,098x = 222,372,606,096
5. Step 5: Solve for x
   x = 222,372,606,096/216,098
6. Step 6: Final answer
   x = 1,029,035.93