Finding the Third Proportional to 113,592 and 175,704

Step by Step Solution

1. Step 1: Write the proportion equation
   113,592 : 175,704 = 175,704 : x
2. Step 2: Convert to fraction form
   113,592/175,704 = 175,704/x
3. Step 3: Cross multiply
   113,592x = 175,704 × 175,704
4. Step 4: Simplify right side
   113,592x = 30,871,895,616
5. Step 5: Solve for x
   x = 30,871,895,616/113,592
6. Step 6: Final answer
   x = 271,778.78