Finding the Third Proportional to 85,910 and 123,734

Step by Step Solution

1. Step 1: Write the proportion equation
   85,910 : 123,734 = 123,734 : x
2. Step 2: Convert to fraction form
   85,910/123,734 = 123,734/x
3. Step 3: Cross multiply
   85,910x = 123,734 × 123,734
4. Step 4: Simplify right side
   85,910x = 15,310,102,756
5. Step 5: Solve for x
   x = 15,310,102,756/85,910
6. Step 6: Final answer
   x = 178,210.95