Finding the Third Proportional to 85,992 and 123,861

Step by Step Solution

1. Step 1: Write the proportion equation
   85,992 : 123,861 = 123,861 : x
2. Step 2: Convert to fraction form
   85,992/123,861 = 123,861/x
3. Step 3: Cross multiply
   85,992x = 123,861 × 123,861
4. Step 4: Simplify right side
   85,992x = 15,341,547,321
5. Step 5: Solve for x
   x = 15,341,547,321/85,992
6. Step 6: Final answer
   x = 178,406.68