Finding the Third Proportional to 108,920 and 166,584

Step by Step Solution

1. Step 1: Write the proportion equation
   108,920 : 166,584 = 166,584 : x
2. Step 2: Convert to fraction form
   108,920/166,584 = 166,584/x
3. Step 3: Cross multiply
   108,920x = 166,584 × 166,584
4. Step 4: Simplify right side
   108,920x = 27,750,229,056
5. Step 5: Solve for x
   x = 27,750,229,056/108,920
6. Step 6: Final answer
   x = 254,776.25