Finding the Third Proportional to 177,456.50 and 258,086

Step by Step Solution

1. Step 1: Write the proportion equation
   177,456.50 : 258,086 = 258,086 : x
2. Step 2: Convert to fraction form
   177,456.50/258,086 = 258,086/x
3. Step 3: Cross multiply
   177,456.50x = 258,086 × 258,086
4. Step 4: Simplify right side
   177,456.50x = 66,608,383,396
5. Step 5: Solve for x
   x = 66,608,383,396/177,456.50
6. Step 6: Final answer
   x = 375,350.49