Finding the Third Proportional to 85,894 and 123,715

Step by Step Solution

1. Step 1: Write the proportion equation
   85,894 : 123,715 = 123,715 : x
2. Step 2: Convert to fraction form
   85,894/123,715 = 123,715/x
3. Step 3: Cross multiply
   85,894x = 123,715 × 123,715
4. Step 4: Simplify right side
   85,894x = 15,305,401,225
5. Step 5: Solve for x
   x = 15,305,401,225/85,894
6. Step 6: Final answer
   x = 178,189.41