Finding the Third Proportional to 114,096 and 236,184

Step by Step Solution

1. Step 1: Write the proportion equation
   114,096 : 236,184 = 236,184 : x
2. Step 2: Convert to fraction form
   114,096/236,184 = 236,184/x
3. Step 3: Cross multiply
   114,096x = 236,184 × 236,184
4. Step 4: Simplify right side
   114,096x = 55,782,881,856
5. Step 5: Solve for x
   x = 55,782,881,856/114,096
6. Step 6: Final answer
   x = 488,911.81