Finding the Third Proportional to 85,657.50 and 188,399.25

Step by Step Solution

1. Step 1: Write the proportion equation
   85,657.50 : 188,399.25 = 188,399.25 : x
2. Step 2: Convert to fraction form
   85,657.50/188,399.25 = 188,399.25/x
3. Step 3: Cross multiply
   85,657.50x = 188,399.25 × 188,399.25
4. Step 4: Simplify right side
   85,657.50x = 35,494,277,400.56
5. Step 5: Solve for x
   x = 35,494,277,400.56/85,657.50
6. Step 6: Final answer
   x = 414,374.43