Finding the Third Proportional to 216,096 and 471,559.50

Step by Step Solution

1. Step 1: Write the proportion equation
   216,096 : 471,559.50 = 471,559.50 : x
2. Step 2: Convert to fraction form
   216,096/471,559.50 = 471,559.50/x
3. Step 3: Cross multiply
   216,096x = 471,559.50 × 471,559.50
4. Step 4: Simplify right side
   216,096x = 222,368,362,040.25
5. Step 5: Solve for x
   x = 222,368,362,040.25/216,096
6. Step 6: Final answer
   x = 1,029,025.81