Finding the Third Proportional to 122,933 and 185,530

Step by Step Solution

1. Step 1: Write the proportion equation
   122,933 : 185,530 = 185,530 : x
2. Step 2: Convert to fraction form
   122,933/185,530 = 185,530/x
3. Step 3: Cross multiply
   122,933x = 185,530 × 185,530
4. Step 4: Simplify right side
   122,933x = 34,421,380,900
5. Step 5: Solve for x
   x = 34,421,380,900/122,933
6. Step 6: Final answer
   x = 280,001.15