Finding the Third Proportional to 85,843 and 188,088

Step by Step Solution

1. Step 1: Write the proportion equation
   85,843 : 188,088 = 188,088 : x
2. Step 2: Convert to fraction form
   85,843/188,088 = 188,088/x
3. Step 3: Cross multiply
   85,843x = 188,088 × 188,088
4. Step 4: Simplify right side
   85,843x = 35,377,095,744
5. Step 5: Solve for x
   x = 35,377,095,744/85,843
6. Step 6: Final answer
   x = 412,113.93