Finding the Third Proportional to 114,640 and 242,144

Step by Step Solution

1. Step 1: Write the proportion equation
   114,640 : 242,144 = 242,144 : x
2. Step 2: Convert to fraction form
   114,640/242,144 = 242,144/x
3. Step 3: Cross multiply
   114,640x = 242,144 × 242,144
4. Step 4: Simplify right side
   114,640x = 58,633,716,736
5. Step 5: Solve for x
   x = 58,633,716,736/114,640
6. Step 6: Final answer
   x = 511,459.50