Finding the Third Proportional to 122,353 and 270,909.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,353 : 270,909.50 = 270,909.50 : x
2. Step 2: Convert to fraction form
   122,353/270,909.50 = 270,909.50/x
3. Step 3: Cross multiply
   122,353x = 270,909.50 × 270,909.50
4. Step 4: Simplify right side
   122,353x = 73,391,957,190.25
5. Step 5: Solve for x
   x = 73,391,957,190.25/122,353
6. Step 6: Final answer
   x = 599,837.82