Finding the Third Proportional to 122,022 and 185,380

Step by Step Solution

1. Step 1: Write the proportion equation
   122,022 : 185,380 = 185,380 : x
2. Step 2: Convert to fraction form
   122,022/185,380 = 185,380/x
3. Step 3: Cross multiply
   122,022x = 185,380 × 185,380
4. Step 4: Simplify right side
   122,022x = 34,365,744,400
5. Step 5: Solve for x
   x = 34,365,744,400/122,022
6. Step 6: Final answer
   x = 281,635.64