Finding the Third Proportional to 105,730.50 and 227,964

Step by Step Solution

1. Step 1: Write the proportion equation
   105,730.50 : 227,964 = 227,964 : x
2. Step 2: Convert to fraction form
   105,730.50/227,964 = 227,964/x
3. Step 3: Cross multiply
   105,730.50x = 227,964 × 227,964
4. Step 4: Simplify right side
   105,730.50x = 51,967,585,296
5. Step 5: Solve for x
   x = 51,967,585,296/105,730.50
6. Step 6: Final answer
   x = 491,509.88