Finding the Third Proportional to 113,960 and 176,914

Step by Step Solution

1. Step 1: Write the proportion equation
   113,960 : 176,914 = 176,914 : x
2. Step 2: Convert to fraction form
   113,960/176,914 = 176,914/x
3. Step 3: Cross multiply
   113,960x = 176,914 × 176,914
4. Step 4: Simplify right side
   113,960x = 31,298,563,396
5. Step 5: Solve for x
   x = 31,298,563,396/113,960
6. Step 6: Final answer
   x = 274,645.17