Finding the Third Proportional to 114,144 and 175,536

Step by Step Solution

1. Step 1: Write the proportion equation
   114,144 : 175,536 = 175,536 : x
2. Step 2: Convert to fraction form
   114,144/175,536 = 175,536/x
3. Step 3: Cross multiply
   114,144x = 175,536 × 175,536
4. Step 4: Simplify right side
   114,144x = 30,812,887,296
5. Step 5: Solve for x
   x = 30,812,887,296/114,144
6. Step 6: Final answer
   x = 269,947.50