Finding the Third Proportional to 114,020 and 175,404

Step by Step Solution

1. Step 1: Write the proportion equation
   114,020 : 175,404 = 175,404 : x
2. Step 2: Convert to fraction form
   114,020/175,404 = 175,404/x
3. Step 3: Cross multiply
   114,020x = 175,404 × 175,404
4. Step 4: Simplify right side
   114,020x = 30,766,563,216
5. Step 5: Solve for x
   x = 30,766,563,216/114,020
6. Step 6: Final answer
   x = 269,834.79