Finding the Third Proportional to 219,936 and 490,416

Step by Step Solution

1. Step 1: Write the proportion equation
   219,936 : 490,416 = 490,416 : x
2. Step 2: Convert to fraction form
   219,936/490,416 = 490,416/x
3. Step 3: Cross multiply
   219,936x = 490,416 × 490,416
4. Step 4: Simplify right side
   219,936x = 240,507,853,056
5. Step 5: Solve for x
   x = 240,507,853,056/219,936
6. Step 6: Final answer
   x = 1,093,535.63