Finding the Third Proportional to 114,814 and 243,286

Step by Step Solution

1. Step 1: Write the proportion equation
   114,814 : 243,286 = 243,286 : x
2. Step 2: Convert to fraction form
   114,814/243,286 = 243,286/x
3. Step 3: Cross multiply
   114,814x = 243,286 × 243,286
4. Step 4: Simplify right side
   114,814x = 59,188,077,796
5. Step 5: Solve for x
   x = 59,188,077,796/114,814
6. Step 6: Final answer
   x = 515,512.72