Finding the Third Proportional to 227,664 and 334,114.50

Step by Step Solution

1. Step 1: Write the proportion equation
   227,664 : 334,114.50 = 334,114.50 : x
2. Step 2: Convert to fraction form
   227,664/334,114.50 = 334,114.50/x
3. Step 3: Cross multiply
   227,664x = 334,114.50 × 334,114.50
4. Step 4: Simplify right side
   227,664x = 111,632,499,110.25
5. Step 5: Solve for x
   x = 111,632,499,110.25/227,664
6. Step 6: Final answer
   x = 490,338.83