Finding the Third Proportional to 103,302 and 219,004

Step by Step Solution

1. Step 1: Write the proportion equation
   103,302 : 219,004 = 219,004 : x
2. Step 2: Convert to fraction form
   103,302/219,004 = 219,004/x
3. Step 3: Cross multiply
   103,302x = 219,004 × 219,004
4. Step 4: Simplify right side
   103,302x = 47,962,752,016
5. Step 5: Solve for x
   x = 47,962,752,016/103,302
6. Step 6: Final answer
   x = 464,296.45