Finding the Third Proportional to 258,118.50 and 362,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   258,118.50 : 362,839.50 = 362,839.50 : x
2. Step 2: Convert to fraction form
   258,118.50/362,839.50 = 362,839.50/x
3. Step 3: Cross multiply
   258,118.50x = 362,839.50 × 362,839.50
4. Step 4: Simplify right side
   258,118.50x = 131,652,502,760.25
5. Step 5: Solve for x
   x = 131,652,502,760.25/258,118.50
6. Step 6: Final answer
   x = 510,046.75