Finding the Third Proportional to 177,603.50 and 380,540

Step by Step Solution

1. Step 1: Write the proportion equation
   177,603.50 : 380,540 = 380,540 : x
2. Step 2: Convert to fraction form
   177,603.50/380,540 = 380,540/x
3. Step 3: Cross multiply
   177,603.50x = 380,540 × 380,540
4. Step 4: Simplify right side
   177,603.50x = 144,810,691,600
5. Step 5: Solve for x
   x = 144,810,691,600/177,603.50
6. Step 6: Final answer
   x = 815,359.45