Finding the Third Proportional to 258,214.50 and 377,055

Step by Step Solution

1. Step 1: Write the proportion equation
   258,214.50 : 377,055 = 377,055 : x
2. Step 2: Convert to fraction form
   258,214.50/377,055 = 377,055/x
3. Step 3: Cross multiply
   258,214.50x = 377,055 × 377,055
4. Step 4: Simplify right side
   258,214.50x = 142,170,473,025
5. Step 5: Solve for x
   x = 142,170,473,025/258,214.50
6. Step 6: Final answer
   x = 550,590.59