Finding the Third Proportional to 235,802.25 and 333,337.50

Step by Step Solution

1. Step 1: Write the proportion equation
   235,802.25 : 333,337.50 = 333,337.50 : x
2. Step 2: Convert to fraction form
   235,802.25/333,337.50 = 333,337.50/x
3. Step 3: Cross multiply
   235,802.25x = 333,337.50 × 333,337.50
4. Step 4: Simplify right side
   235,802.25x = 111,113,888,906.25
5. Step 5: Solve for x
   x = 111,113,888,906.25/235,802.25
6. Step 6: Final answer
   x = 471,216.41