Finding the Third Proportional to 177,306.50 and 265,960

Step by Step Solution

1. Step 1: Write the proportion equation
   177,306.50 : 265,960 = 265,960 : x
2. Step 2: Convert to fraction form
   177,306.50/265,960 = 265,960/x
3. Step 3: Cross multiply
   177,306.50x = 265,960 × 265,960
4. Step 4: Simplify right side
   177,306.50x = 70,734,721,600
5. Step 5: Solve for x
   x = 70,734,721,600/177,306.50
6. Step 6: Final answer
   x = 398,940.38