Finding the Third Proportional to 114,696 and 237,456

Step by Step Solution

1. Step 1: Write the proportion equation
   114,696 : 237,456 = 237,456 : x
2. Step 2: Convert to fraction form
   114,696/237,456 = 237,456/x
3. Step 3: Cross multiply
   114,696x = 237,456 × 237,456
4. Step 4: Simplify right side
   114,696x = 56,385,351,936
5. Step 5: Solve for x
   x = 56,385,351,936/114,696
6. Step 6: Final answer
   x = 491,606.96