Finding the Third Proportional to 233,404 and 475,372.50

Step by Step Solution

1. Step 1: Write the proportion equation
   233,404 : 475,372.50 = 475,372.50 : x
2. Step 2: Convert to fraction form
   233,404/475,372.50 = 475,372.50/x
3. Step 3: Cross multiply
   233,404x = 475,372.50 × 475,372.50
4. Step 4: Simplify right side
   233,404x = 225,979,013,756.25
5. Step 5: Solve for x
   x = 225,979,013,756.25/233,404
6. Step 6: Final answer
   x = 968,188.26