Finding the Third Proportional to 233,937 and 333,409.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,937 : 333,409.50 = 333,409.50 : x
2. Step 2: Convert to fraction form
   233,937/333,409.50 = 333,409.50/x
3. Step 3: Cross multiply
   233,937x = 333,409.50 × 333,409.50
4. Step 4: Simplify right side
   233,937x = 111,161,894,690.25
5. Step 5: Solve for x
   x = 111,161,894,690.25/233,937
6. Step 6: Final answer
   x = 475,178.76