Finding the Third Proportional to 110,723 and 171,916

Step by Step Solution

1. Step 1: Write the proportion equation
   110,723 : 171,916 = 171,916 : x
2. Step 2: Convert to fraction form
   110,723/171,916 = 171,916/x
3. Step 3: Cross multiply
   110,723x = 171,916 × 171,916
4. Step 4: Simplify right side
   110,723x = 29,555,111,056
5. Step 5: Solve for x
   x = 29,555,111,056/110,723
6. Step 6: Final answer
   x = 266,928.38