Finding the Third Proportional to 219,226 and 471,724

Step by Step Solution

1. Step 1: Write the proportion equation
   219,226 : 471,724 = 471,724 : x
2. Step 2: Convert to fraction form
   219,226/471,724 = 471,724/x
3. Step 3: Cross multiply
   219,226x = 471,724 × 471,724
4. Step 4: Simplify right side
   219,226x = 222,523,532,176
5. Step 5: Solve for x
   x = 222,523,532,176/219,226
6. Step 6: Final answer
   x = 1,015,041.70