Finding the Third Proportional to 122,211 and 178,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,211 : 178,942.50 = 178,942.50 : x
2. Step 2: Convert to fraction form
   122,211/178,942.50 = 178,942.50/x
3. Step 3: Cross multiply
   122,211x = 178,942.50 × 178,942.50
4. Step 4: Simplify right side
   122,211x = 32,020,418,306.25
5. Step 5: Solve for x
   x = 32,020,418,306.25/122,211
6. Step 6: Final answer
   x = 262,009.30