Finding the Third Proportional to 85,885 and 188,897

Step by Step Solution

1. Step 1: Write the proportion equation
   85,885 : 188,897 = 188,897 : x
2. Step 2: Convert to fraction form
   85,885/188,897 = 188,897/x
3. Step 3: Cross multiply
   85,885x = 188,897 × 188,897
4. Step 4: Simplify right side
   85,885x = 35,682,076,609
5. Step 5: Solve for x
   x = 35,682,076,609/85,885
6. Step 6: Final answer
   x = 415,463.43