Finding the Third Proportional to 114,920 and 171,688

Step by Step Solution

1. Step 1: Write the proportion equation
   114,920 : 171,688 = 171,688 : x
2. Step 2: Convert to fraction form
   114,920/171,688 = 171,688/x
3. Step 3: Cross multiply
   114,920x = 171,688 × 171,688
4. Step 4: Simplify right side
   114,920x = 29,476,769,344
5. Step 5: Solve for x
   x = 29,476,769,344/114,920
6. Step 6: Final answer
   x = 256,498.17