Finding the Third Proportional to 85,863 and 188,853

Step by Step Solution

1. Step 1: Write the proportion equation
   85,863 : 188,853 = 188,853 : x
2. Step 2: Convert to fraction form
   85,863/188,853 = 188,853/x
3. Step 3: Cross multiply
   85,863x = 188,853 × 188,853
4. Step 4: Simplify right side
   85,863x = 35,665,455,609
5. Step 5: Solve for x
   x = 35,665,455,609/85,863
6. Step 6: Final answer
   x = 415,376.30