Finding the Third Proportional to 114,520 and 173,036

Step by Step Solution

1. Step 1: Write the proportion equation
   114,520 : 173,036 = 173,036 : x
2. Step 2: Convert to fraction form
   114,520/173,036 = 173,036/x
3. Step 3: Cross multiply
   114,520x = 173,036 × 173,036
4. Step 4: Simplify right side
   114,520x = 29,941,457,296
5. Step 5: Solve for x
   x = 29,941,457,296/114,520
6. Step 6: Final answer
   x = 261,451.78