Finding the Third Proportional to 225,859.50 and 301,109.06

Step by Step Solution

1. Step 1: Write the proportion equation
   225,859.50 : 301,109.06 = 301,109.06 : x
2. Step 2: Convert to fraction form
   225,859.50/301,109.06 = 301,109.06/x
3. Step 3: Cross multiply
   225,859.50x = 301,109.06 × 301,109.06
4. Step 4: Simplify right side
   225,859.50x = 90,666,667,519.63
5. Step 5: Solve for x
   x = 90,666,667,519.63/225,859.50
6. Step 6: Final answer
   x = 401,429.51