Finding the Third Proportional to 227,665.50 and 334,116

Step by Step Solution

1. Step 1: Write the proportion equation
   227,665.50 : 334,116 = 334,116 : x
2. Step 2: Convert to fraction form
   227,665.50/334,116 = 334,116/x
3. Step 3: Cross multiply
   227,665.50x = 334,116 × 334,116
4. Step 4: Simplify right side
   227,665.50x = 111,633,501,456
5. Step 5: Solve for x
   x = 111,633,501,456/227,665.50
6. Step 6: Final answer
   x = 490,340.00