Finding the Third Proportional to 111,314.25 and 226,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,314.25 : 226,516.50 = 226,516.50 : x
2. Step 2: Convert to fraction form
   111,314.25/226,516.50 = 226,516.50/x
3. Step 3: Cross multiply
   111,314.25x = 226,516.50 × 226,516.50
4. Step 4: Simplify right side
   111,314.25x = 51,309,724,772.25
5. Step 5: Solve for x
   x = 51,309,724,772.25/111,314.25
6. Step 6: Final answer
   x = 460,944.80