Finding the Third Proportional to 114,012 and 175,392

Step by Step Solution

1. Step 1: Write the proportion equation
   114,012 : 175,392 = 175,392 : x
2. Step 2: Convert to fraction form
   114,012/175,392 = 175,392/x
3. Step 3: Cross multiply
   114,012x = 175,392 × 175,392
4. Step 4: Simplify right side
   114,012x = 30,762,353,664
5. Step 5: Solve for x
   x = 30,762,353,664/114,012
6. Step 6: Final answer
   x = 269,816.81