Finding the Third Proportional to 85,901 and 123,722

Step by Step Solution

1. Step 1: Write the proportion equation
   85,901 : 123,722 = 123,722 : x
2. Step 2: Convert to fraction form
   85,901/123,722 = 123,722/x
3. Step 3: Cross multiply
   85,901x = 123,722 × 123,722
4. Step 4: Simplify right side
   85,901x = 15,307,133,284
5. Step 5: Solve for x
   x = 15,307,133,284/85,901
6. Step 6: Final answer
   x = 178,195.05