Finding the Third Proportional to 110,840 and 171,978

Step by Step Solution

1. Step 1: Write the proportion equation
   110,840 : 171,978 = 171,978 : x
2. Step 2: Convert to fraction form
   110,840/171,978 = 171,978/x
3. Step 3: Cross multiply
   110,840x = 171,978 × 171,978
4. Step 4: Simplify right side
   110,840x = 29,576,432,484
5. Step 5: Solve for x
   x = 29,576,432,484/110,840
6. Step 6: Final answer
   x = 266,838.98