Finding the Third Proportional to 114,144 and 234,624

Step by Step Solution

1. Step 1: Write the proportion equation
   114,144 : 234,624 = 234,624 : x
2. Step 2: Convert to fraction form
   114,144/234,624 = 234,624/x
3. Step 3: Cross multiply
   114,144x = 234,624 × 234,624
4. Step 4: Simplify right side
   114,144x = 55,048,421,376
5. Step 5: Solve for x
   x = 55,048,421,376/114,144
6. Step 6: Final answer
   x = 482,271.70