Finding the Third Proportional to 111,451.25 and 217,321.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,451.25 : 217,321.50 = 217,321.50 : x
2. Step 2: Convert to fraction form
   111,451.25/217,321.50 = 217,321.50/x
3. Step 3: Cross multiply
   111,451.25x = 217,321.50 × 217,321.50
4. Step 4: Simplify right side
   111,451.25x = 47,228,634,362.25
5. Step 5: Solve for x
   x = 47,228,634,362.25/111,451.25
6. Step 6: Final answer
   x = 423,760.47