Finding the Third Proportional to 85,910.50 and 188,759

Step by Step Solution

1. Step 1: Write the proportion equation
   85,910.50 : 188,759 = 188,759 : x
2. Step 2: Convert to fraction form
   85,910.50/188,759 = 188,759/x
3. Step 3: Cross multiply
   85,910.50x = 188,759 × 188,759
4. Step 4: Simplify right side
   85,910.50x = 35,629,960,081
5. Step 5: Solve for x
   x = 35,629,960,081/85,910.50
6. Step 6: Final answer
   x = 414,733.47