Finding the Third Proportional to 303,540 and 459,847.50

Step by Step Solution

1. Step 1: Write the proportion equation
   303,540 : 459,847.50 = 459,847.50 : x
2. Step 2: Convert to fraction form
   303,540/459,847.50 = 459,847.50/x
3. Step 3: Cross multiply
   303,540x = 459,847.50 × 459,847.50
4. Step 4: Simplify right side
   303,540x = 211,459,723,256.25
5. Step 5: Solve for x
   x = 211,459,723,256.25/303,540
6. Step 6: Final answer
   x = 696,645.33