Finding the Third Proportional to 85,162 and 175,791

Step by Step Solution

1. Step 1: Write the proportion equation
   85,162 : 175,791 = 175,791 : x
2. Step 2: Convert to fraction form
   85,162/175,791 = 175,791/x
3. Step 3: Cross multiply
   85,162x = 175,791 × 175,791
4. Step 4: Simplify right side
   85,162x = 30,902,475,681
5. Step 5: Solve for x
   x = 30,902,475,681/85,162
6. Step 6: Final answer
   x = 362,866.96