Finding the Third Proportional to 85,916 and 188,194

Step by Step Solution

1. Step 1: Write the proportion equation
   85,916 : 188,194 = 188,194 : x
2. Step 2: Convert to fraction form
   85,916/188,194 = 188,194/x
3. Step 3: Cross multiply
   85,916x = 188,194 × 188,194
4. Step 4: Simplify right side
   85,916x = 35,416,981,636
5. Step 5: Solve for x
   x = 35,416,981,636/85,916
6. Step 6: Final answer
   x = 412,228.01