Finding the Third Proportional to 52,184 and 114,944

Step by Step Solution

1. Step 1: Write the proportion equation
   52,184 : 114,944 = 114,944 : x
2. Step 2: Convert to fraction form
   52,184/114,944 = 114,944/x
3. Step 3: Cross multiply
   52,184x = 114,944 × 114,944
4. Step 4: Simplify right side
   52,184x = 13,212,123,136
5. Step 5: Solve for x
   x = 13,212,123,136/52,184
6. Step 6: Final answer
   x = 253,183.41