Finding the Third Proportional to 114,956 and 172,570

Step by Step Solution

1. Step 1: Write the proportion equation
   114,956 : 172,570 = 172,570 : x
2. Step 2: Convert to fraction form
   114,956/172,570 = 172,570/x
3. Step 3: Cross multiply
   114,956x = 172,570 × 172,570
4. Step 4: Simplify right side
   114,956x = 29,780,404,900
5. Step 5: Solve for x
   x = 29,780,404,900/114,956
6. Step 6: Final answer
   x = 259,059.16