Finding the Third Proportional to 122,180 and 178,900

Step by Step Solution

1. Step 1: Write the proportion equation
   122,180 : 178,900 = 178,900 : x
2. Step 2: Convert to fraction form
   122,180/178,900 = 178,900/x
3. Step 3: Cross multiply
   122,180x = 178,900 × 178,900
4. Step 4: Simplify right side
   122,180x = 32,005,210,000
5. Step 5: Solve for x
   x = 32,005,210,000/122,180
6. Step 6: Final answer
   x = 261,951.30