Finding the Third Proportional to 51,894 and 114,156

Step by Step Solution

1. Step 1: Write the proportion equation
   51,894 : 114,156 = 114,156 : x
2. Step 2: Convert to fraction form
   51,894/114,156 = 114,156/x
3. Step 3: Cross multiply
   51,894x = 114,156 × 114,156
4. Step 4: Simplify right side
   51,894x = 13,031,592,336
5. Step 5: Solve for x
   x = 13,031,592,336/51,894
6. Step 6: Final answer
   x = 251,119.44