Finding the Third Proportional to 51,402 and 113,172

Step by Step Solution

1. Step 1: Write the proportion equation
   51,402 : 113,172 = 113,172 : x
2. Step 2: Convert to fraction form
   51,402/113,172 = 113,172/x
3. Step 3: Cross multiply
   51,402x = 113,172 × 113,172
4. Step 4: Simplify right side
   51,402x = 12,807,901,584
5. Step 5: Solve for x
   x = 12,807,901,584/51,402
6. Step 6: Final answer
   x = 249,171.27