Finding the Third Proportional to 309,948 and 471,096

Step by Step Solution

1. Step 1: Write the proportion equation
   309,948 : 471,096 = 471,096 : x
2. Step 2: Convert to fraction form
   309,948/471,096 = 471,096/x
3. Step 3: Cross multiply
   309,948x = 471,096 × 471,096
4. Step 4: Simplify right side
   309,948x = 221,931,441,216
5. Step 5: Solve for x
   x = 221,931,441,216/309,948
6. Step 6: Final answer
   x = 716,027.98