Finding the Third Proportional to 233,401.50 and 333,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,401.50 : 333,274.50 = 333,274.50 : x
2. Step 2: Convert to fraction form
   233,401.50/333,274.50 = 333,274.50/x
3. Step 3: Cross multiply
   233,401.50x = 333,274.50 × 333,274.50
4. Step 4: Simplify right side
   233,401.50x = 111,071,892,350.25
5. Step 5: Solve for x
   x = 111,071,892,350.25/233,401.50
6. Step 6: Final answer
   x = 475,883.37