Finding the Third Proportional to 146,929 and 218,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,929 : 218,233.50 = 218,233.50 : x
2. Step 2: Convert to fraction form
   146,929/218,233.50 = 218,233.50/x
3. Step 3: Cross multiply
   146,929x = 218,233.50 × 218,233.50
4. Step 4: Simplify right side
   146,929x = 47,625,860,522.25
5. Step 5: Solve for x
   x = 47,625,860,522.25/146,929
6. Step 6: Final answer
   x = 324,142.00