Finding the Third Proportional to 85,916 and 123,933

Step by Step Solution

1. Step 1: Write the proportion equation
   85,916 : 123,933 = 123,933 : x
2. Step 2: Convert to fraction form
   85,916/123,933 = 123,933/x
3. Step 3: Cross multiply
   85,916x = 123,933 × 123,933
4. Step 4: Simplify right side
   85,916x = 15,359,388,489
5. Step 5: Solve for x
   x = 15,359,388,489/85,916
6. Step 6: Final answer
   x = 178,772.16