Finding the Third Proportional to 114,536 and 172,020

Step by Step Solution

1. Step 1: Write the proportion equation
   114,536 : 172,020 = 172,020 : x
2. Step 2: Convert to fraction form
   114,536/172,020 = 172,020/x
3. Step 3: Cross multiply
   114,536x = 172,020 × 172,020
4. Step 4: Simplify right side
   114,536x = 29,590,880,400
5. Step 5: Solve for x
   x = 29,590,880,400/114,536
6. Step 6: Final answer
   x = 258,354.41