Finding the Third Proportional to 233,147.25 and 418,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,147.25 : 418,315.50 = 418,315.50 : x
2. Step 2: Convert to fraction form
   233,147.25/418,315.50 = 418,315.50/x
3. Step 3: Cross multiply
   233,147.25x = 418,315.50 × 418,315.50
4. Step 4: Simplify right side
   233,147.25x = 174,987,857,540.25
5. Step 5: Solve for x
   x = 174,987,857,540.25/233,147.25
6. Step 6: Final answer
   x = 750,546.52