Finding the Third Proportional to 85,540.50 and 188,253

Step by Step Solution

1. Step 1: Write the proportion equation
   85,540.50 : 188,253 = 188,253 : x
2. Step 2: Convert to fraction form
   85,540.50/188,253 = 188,253/x
3. Step 3: Cross multiply
   85,540.50x = 188,253 × 188,253
4. Step 4: Simplify right side
   85,540.50x = 35,439,192,009
5. Step 5: Solve for x
   x = 35,439,192,009/85,540.50
6. Step 6: Final answer
   x = 414,297.23