Finding the Third Proportional to 177.50 and 375.89

Step by Step Solution

1. Step 1: Write the proportion equation
   177.50 : 375.89 = 375.89 : x
2. Step 2: Convert to fraction form
   177.50/375.89 = 375.89/x
3. Step 3: Cross multiply
   177.50x = 375.89 × 375.89
4. Step 4: Simplify right side
   177.50x = 141,293.76
5. Step 5: Solve for x
   x = 141,293.76/177.50
6. Step 6: Final answer
   x = 796.00