Finding the Third Proportional to 216,082 and 471,152

Step by Step Solution

1. Step 1: Write the proportion equation
   216,082 : 471,152 = 471,152 : x
2. Step 2: Convert to fraction form
   216,082/471,152 = 471,152/x
3. Step 3: Cross multiply
   216,082x = 471,152 × 471,152
4. Step 4: Simplify right side
   216,082x = 221,984,207,104
5. Step 5: Solve for x
   x = 221,984,207,104/216,082
6. Step 6: Final answer
   x = 1,027,314.66