Finding the Third Proportional to 80,766 and 123,971

Step by Step Solution

1. Step 1: Write the proportion equation
   80,766 : 123,971 = 123,971 : x
2. Step 2: Convert to fraction form
   80,766/123,971 = 123,971/x
3. Step 3: Cross multiply
   80,766x = 123,971 × 123,971
4. Step 4: Simplify right side
   80,766x = 15,368,808,841
5. Step 5: Solve for x
   x = 15,368,808,841/80,766
6. Step 6: Final answer
   x = 190,288.10