Finding the Third Proportional to 110,584 and 171,510

Step by Step Solution

1. Step 1: Write the proportion equation
   110,584 : 171,510 = 171,510 : x
2. Step 2: Convert to fraction form
   110,584/171,510 = 171,510/x
3. Step 3: Cross multiply
   110,584x = 171,510 × 171,510
4. Step 4: Simplify right side
   110,584x = 29,415,680,100
5. Step 5: Solve for x
   x = 29,415,680,100/110,584
6. Step 6: Final answer
   x = 266,003.04