Finding the Third Proportional to 296,176.50 and 459,443.25

Step by Step Solution

1. Step 1: Write the proportion equation
   296,176.50 : 459,443.25 = 459,443.25 : x
2. Step 2: Convert to fraction form
   296,176.50/459,443.25 = 459,443.25/x
3. Step 3: Cross multiply
   296,176.50x = 459,443.25 × 459,443.25
4. Step 4: Simplify right side
   296,176.50x = 211,088,099,970.56
5. Step 5: Solve for x
   x = 211,088,099,970.56/296,176.50
6. Step 6: Final answer
   x = 712,710.50