Finding the Third Proportional to 122,933.50 and 185,266

Step by Step Solution

1. Step 1: Write the proportion equation
   122,933.50 : 185,266 = 185,266 : x
2. Step 2: Convert to fraction form
   122,933.50/185,266 = 185,266/x
3. Step 3: Cross multiply
   122,933.50x = 185,266 × 185,266
4. Step 4: Simplify right side
   122,933.50x = 34,323,490,756
5. Step 5: Solve for x
   x = 34,323,490,756/122,933.50
6. Step 6: Final answer
   x = 279,203.72