Finding the Third Proportional to 110,008 and 171,584

Step by Step Solution

1. Step 1: Write the proportion equation
   110,008 : 171,584 = 171,584 : x
2. Step 2: Convert to fraction form
   110,008/171,584 = 171,584/x
3. Step 3: Cross multiply
   110,008x = 171,584 × 171,584
4. Step 4: Simplify right side
   110,008x = 29,441,069,056
5. Step 5: Solve for x
   x = 29,441,069,056/110,008
6. Step 6: Final answer
   x = 267,626.62