Finding the Third Proportional to 301,843.50 and 423,028.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,843.50 : 423,028.50 = 423,028.50 : x
2. Step 2: Convert to fraction form
   301,843.50/423,028.50 = 423,028.50/x
3. Step 3: Cross multiply
   301,843.50x = 423,028.50 × 423,028.50
4. Step 4: Simplify right side
   301,843.50x = 178,953,111,812.25
5. Step 5: Solve for x
   x = 178,953,111,812.25/301,843.50
6. Step 6: Final answer
   x = 592,867.20