Finding the Third Proportional to 91,778 and 123,843

Step by Step Solution

1. Step 1: Write the proportion equation
   91,778 : 123,843 = 123,843 : x
2. Step 2: Convert to fraction form
   91,778/123,843 = 123,843/x
3. Step 3: Cross multiply
   91,778x = 123,843 × 123,843
4. Step 4: Simplify right side
   91,778x = 15,337,088,649
5. Step 5: Solve for x
   x = 15,337,088,649/91,778
6. Step 6: Final answer
   x = 167,110.73