Finding the Third Proportional to 114,264 and 234,096

Step by Step Solution

1. Step 1: Write the proportion equation
   114,264 : 234,096 = 234,096 : x
2. Step 2: Convert to fraction form
   114,264/234,096 = 234,096/x
3. Step 3: Cross multiply
   114,264x = 234,096 × 234,096
4. Step 4: Simplify right side
   114,264x = 54,800,937,216
5. Step 5: Solve for x
   x = 54,800,937,216/114,264
6. Step 6: Final answer
   x = 479,599.32