Finding the Third Proportional to 85,166 and 175,801

Step by Step Solution

1. Step 1: Write the proportion equation
   85,166 : 175,801 = 175,801 : x
2. Step 2: Convert to fraction form
   85,166/175,801 = 175,801/x
3. Step 3: Cross multiply
   85,166x = 175,801 × 175,801
4. Step 4: Simplify right side
   85,166x = 30,905,991,601
5. Step 5: Solve for x
   x = 30,905,991,601/85,166
6. Step 6: Final answer
   x = 362,891.20