Finding the Third Proportional to 225,675 and 357,007.50

Step by Step Solution

1. Step 1: Write the proportion equation
   225,675 : 357,007.50 = 357,007.50 : x
2. Step 2: Convert to fraction form
   225,675/357,007.50 = 357,007.50/x
3. Step 3: Cross multiply
   225,675x = 357,007.50 × 357,007.50
4. Step 4: Simplify right side
   225,675x = 127,454,355,056.25
5. Step 5: Solve for x
   x = 127,454,355,056.25/225,675
6. Step 6: Final answer
   x = 564,769.49