Finding the Third Proportional to 105,626 and 229,467.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,626 : 229,467.50 = 229,467.50 : x
2. Step 2: Convert to fraction form
   105,626/229,467.50 = 229,467.50/x
3. Step 3: Cross multiply
   105,626x = 229,467.50 × 229,467.50
4. Step 4: Simplify right side
   105,626x = 52,655,333,556.25
5. Step 5: Solve for x
   x = 52,655,333,556.25/105,626
6. Step 6: Final answer
   x = 498,507.31