Finding the Third Proportional to 81,778 and 123,894

Step by Step Solution

1. Step 1: Write the proportion equation
   81,778 : 123,894 = 123,894 : x
2. Step 2: Convert to fraction form
   81,778/123,894 = 123,894/x
3. Step 3: Cross multiply
   81,778x = 123,894 × 123,894
4. Step 4: Simplify right side
   81,778x = 15,349,723,236
5. Step 5: Solve for x
   x = 15,349,723,236/81,778
6. Step 6: Final answer
   x = 187,699.91