Finding the Third Proportional to 221,573 and 335,002

Step by Step Solution

1. Step 1: Write the proportion equation
   221,573 : 335,002 = 335,002 : x
2. Step 2: Convert to fraction form
   221,573/335,002 = 335,002/x
3. Step 3: Cross multiply
   221,573x = 335,002 × 335,002
4. Step 4: Simplify right side
   221,573x = 112,226,340,004
5. Step 5: Solve for x
   x = 112,226,340,004/221,573
6. Step 6: Final answer
   x = 506,498.26