Finding the Third Proportional to 301,825.50 and 423,002.25

Step by Step Solution

1. Step 1: Write the proportion equation
   301,825.50 : 423,002.25 = 423,002.25 : x
2. Step 2: Convert to fraction form
   301,825.50/423,002.25 = 423,002.25/x
3. Step 3: Cross multiply
   301,825.50x = 423,002.25 × 423,002.25
4. Step 4: Simplify right side
   301,825.50x = 178,930,903,505.06
5. Step 5: Solve for x
   x = 178,930,903,505.06/301,825.50
6. Step 6: Final answer
   x = 592,828.98