Finding the Third Proportional to 114,014 and 171,705

Step by Step Solution

1. Step 1: Write the proportion equation
   114,014 : 171,705 = 171,705 : x
2. Step 2: Convert to fraction form
   114,014/171,705 = 171,705/x
3. Step 3: Cross multiply
   114,014x = 171,705 × 171,705
4. Step 4: Simplify right side
   114,014x = 29,482,607,025
5. Step 5: Solve for x
   x = 29,482,607,025/114,014
6. Step 6: Final answer
   x = 258,587.60