Finding the Third Proportional to 114,156 and 175,554

Step by Step Solution

1. Step 1: Write the proportion equation
   114,156 : 175,554 = 175,554 : x
2. Step 2: Convert to fraction form
   114,156/175,554 = 175,554/x
3. Step 3: Cross multiply
   114,156x = 175,554 × 175,554
4. Step 4: Simplify right side
   114,156x = 30,819,206,916
5. Step 5: Solve for x
   x = 30,819,206,916/114,156
6. Step 6: Final answer
   x = 269,974.48