Finding the Third Proportional to 188,137.50 and 401,789.25

Step by Step Solution

1. Step 1: Write the proportion equation
   188,137.50 : 401,789.25 = 401,789.25 : x
2. Step 2: Convert to fraction form
   188,137.50/401,789.25 = 401,789.25/x
3. Step 3: Cross multiply
   188,137.50x = 401,789.25 × 401,789.25
4. Step 4: Simplify right side
   188,137.50x = 161,434,601,415.56
5. Step 5: Solve for x
   x = 161,434,601,415.56/188,137.50
6. Step 6: Final answer
   x = 858,067.11