Finding the Third Proportional to 256,433 and 366,150.50

Step by Step Solution

1. Step 1: Write the proportion equation
   256,433 : 366,150.50 = 366,150.50 : x
2. Step 2: Convert to fraction form
   256,433/366,150.50 = 366,150.50/x
3. Step 3: Cross multiply
   256,433x = 366,150.50 × 366,150.50
4. Step 4: Simplify right side
   256,433x = 134,066,188,650.25
5. Step 5: Solve for x
   x = 134,066,188,650.25/256,433
6. Step 6: Final answer
   x = 522,811.76