Finding the Third Proportional to 210,829.50 and 459,078

Step by Step Solution

1. Step 1: Write the proportion equation
   210,829.50 : 459,078 = 459,078 : x
2. Step 2: Convert to fraction form
   210,829.50/459,078 = 459,078/x
3. Step 3: Cross multiply
   210,829.50x = 459,078 × 459,078
4. Step 4: Simplify right side
   210,829.50x = 210,752,610,084
5. Step 5: Solve for x
   x = 210,752,610,084/210,829.50
6. Step 6: Final answer
   x = 999,635.30