Finding the Third Proportional to 91,769 and 123,504

Step by Step Solution

1. Step 1: Write the proportion equation
   91,769 : 123,504 = 123,504 : x
2. Step 2: Convert to fraction form
   91,769/123,504 = 123,504/x
3. Step 3: Cross multiply
   91,769x = 123,504 × 123,504
4. Step 4: Simplify right side
   91,769x = 15,253,238,016
5. Step 5: Solve for x
   x = 15,253,238,016/91,769
6. Step 6: Final answer
   x = 166,213.41