Finding the Third Proportional to 85,959 and 188,856

Step by Step Solution

1. Step 1: Write the proportion equation
   85,959 : 188,856 = 188,856 : x
2. Step 2: Convert to fraction form
   85,959/188,856 = 188,856/x
3. Step 3: Cross multiply
   85,959x = 188,856 × 188,856
4. Step 4: Simplify right side
   85,959x = 35,666,588,736
5. Step 5: Solve for x
   x = 35,666,588,736/85,959
6. Step 6: Final answer
   x = 414,925.59