Finding the Third Proportional to 114,900 and 251,184

Step by Step Solution

1. Step 1: Write the proportion equation
   114,900 : 251,184 = 251,184 : x
2. Step 2: Convert to fraction form
   114,900/251,184 = 251,184/x
3. Step 3: Cross multiply
   114,900x = 251,184 × 251,184
4. Step 4: Simplify right side
   114,900x = 63,093,401,856
5. Step 5: Solve for x
   x = 63,093,401,856/114,900
6. Step 6: Final answer
   x = 549,115.77