Finding the Third Proportional to 146,025 and 213,295.50

Step by Step Solution

1. Step 1: Write the proportion equation
   146,025 : 213,295.50 = 213,295.50 : x
2. Step 2: Convert to fraction form
   146,025/213,295.50 = 213,295.50/x
3. Step 3: Cross multiply
   146,025x = 213,295.50 × 213,295.50
4. Step 4: Simplify right side
   146,025x = 45,494,970,320.25
5. Step 5: Solve for x
   x = 45,494,970,320.25/146,025
6. Step 6: Final answer
   x = 311,556.04