Finding the Third Proportional to 219,154 and 471,598

Step by Step Solution

1. Step 1: Write the proportion equation
   219,154 : 471,598 = 471,598 : x
2. Step 2: Convert to fraction form
   219,154/471,598 = 471,598/x
3. Step 3: Cross multiply
   219,154x = 471,598 × 471,598
4. Step 4: Simplify right side
   219,154x = 222,404,673,604
5. Step 5: Solve for x
   x = 222,404,673,604/219,154
6. Step 6: Final answer
   x = 1,014,832.83