Finding the Third Proportional to 233,382 and 475,324.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,382 : 475,324.50 = 475,324.50 : x
2. Step 2: Convert to fraction form
   233,382/475,324.50 = 475,324.50/x
3. Step 3: Cross multiply
   233,382x = 475,324.50 × 475,324.50
4. Step 4: Simplify right side
   233,382x = 225,933,380,300.25
5. Step 5: Solve for x
   x = 225,933,380,300.25/233,382
6. Step 6: Final answer
   x = 968,084.00