Finding the Third Proportional to 294,453 and 459,175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   294,453 : 459,175.50 = 459,175.50 : x
2. Step 2: Convert to fraction form
   294,453/459,175.50 = 459,175.50/x
3. Step 3: Cross multiply
   294,453x = 459,175.50 × 459,175.50
4. Step 4: Simplify right side
   294,453x = 210,842,139,800.25
5. Step 5: Solve for x
   x = 210,842,139,800.25/294,453
6. Step 6: Final answer
   x = 716,046.84