Finding the Third Proportional to 146,142 and 219,233.25

Step by Step Solution

1. Step 1: Write the proportion equation
   146,142 : 219,233.25 = 219,233.25 : x
2. Step 2: Convert to fraction form
   146,142/219,233.25 = 219,233.25/x
3. Step 3: Cross multiply
   146,142x = 219,233.25 × 219,233.25
4. Step 4: Simplify right side
   146,142x = 48,063,217,905.56
5. Step 5: Solve for x
   x = 48,063,217,905.56/146,142
6. Step 6: Final answer
   x = 328,880.25