Finding the Third Proportional to 85,856.25 and 188,841

Step by Step Solution

1. Step 1: Write the proportion equation
   85,856.25 : 188,841 = 188,841 : x
2. Step 2: Convert to fraction form
   85,856.25/188,841 = 188,841/x
3. Step 3: Cross multiply
   85,856.25x = 188,841 × 188,841
4. Step 4: Simplify right side
   85,856.25x = 35,660,923,281
5. Step 5: Solve for x
   x = 35,660,923,281/85,856.25
6. Step 6: Final answer
   x = 415,356.17