Finding the Third Proportional to 146,880 and 219,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,880 : 219,766.50 = 219,766.50 : x
2. Step 2: Convert to fraction form
   146,880/219,766.50 = 219,766.50/x
3. Step 3: Cross multiply
   146,880x = 219,766.50 × 219,766.50
4. Step 4: Simplify right side
   146,880x = 48,297,314,522.25
5. Step 5: Solve for x
   x = 48,297,314,522.25/146,880
6. Step 6: Final answer
   x = 328,821.59