Finding the Third Proportional to 177,198 and 378,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   177,198 : 378,983.50 = 378,983.50 : x
2. Step 2: Convert to fraction form
   177,198/378,983.50 = 378,983.50/x
3. Step 3: Cross multiply
   177,198x = 378,983.50 × 378,983.50
4. Step 4: Simplify right side
   177,198x = 143,628,493,272.25
5. Step 5: Solve for x
   x = 143,628,493,272.25/177,198
6. Step 6: Final answer
   x = 810,553.69