Finding the Third Proportional to 117,019.69 and 219,049.31

Step by Step Solution

1. Step 1: Write the proportion equation
   117,019.69 : 219,049.31 = 219,049.31 : x
2. Step 2: Convert to fraction form
   117,019.69/219,049.31 = 219,049.31/x
3. Step 3: Cross multiply
   117,019.69x = 219,049.31 × 219,049.31
4. Step 4: Simplify right side
   117,019.69x = 47,982,601,306.72
5. Step 5: Solve for x
   x = 47,982,601,306.72/117,019.69
6. Step 6: Final answer
   x = 410,038.71