Finding the Third Proportional to 122,023.50 and 223,797

Step by Step Solution

1. Step 1: Write the proportion equation
   122,023.50 : 223,797 = 223,797 : x
2. Step 2: Convert to fraction form
   122,023.50/223,797 = 223,797/x
3. Step 3: Cross multiply
   122,023.50x = 223,797 × 223,797
4. Step 4: Simplify right side
   122,023.50x = 50,085,097,209
5. Step 5: Solve for x
   x = 50,085,097,209/122,023.50
6. Step 6: Final answer
   x = 410,454.52