Finding the Third Proportional to 85,770 and 188,099

Step by Step Solution

1. Step 1: Write the proportion equation
   85,770 : 188,099 = 188,099 : x
2. Step 2: Convert to fraction form
   85,770/188,099 = 188,099/x
3. Step 3: Cross multiply
   85,770x = 188,099 × 188,099
4. Step 4: Simplify right side
   85,770x = 35,381,233,801
5. Step 5: Solve for x
   x = 35,381,233,801/85,770
6. Step 6: Final answer
   x = 412,512.93