Finding the Third Proportional to 258,052.50 and 356,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,052.50 : 356,581.50 = 356,581.50 : x
2. Step 2: Convert to fraction form
   258,052.50/356,581.50 = 356,581.50/x
3. Step 3: Cross multiply
   258,052.50x = 356,581.50 × 356,581.50
4. Step 4: Simplify right side
   258,052.50x = 127,150,366,142.25
5. Step 5: Solve for x
   x = 127,150,366,142.25/258,052.50
6. Step 6: Final answer
   x = 492,730.61