Finding the Third Proportional to 51,897 and 113,697

Step by Step Solution

1. Step 1: Write the proportion equation
   51,897 : 113,697 = 113,697 : x
2. Step 2: Convert to fraction form
   51,897/113,697 = 113,697/x
3. Step 3: Cross multiply
   51,897x = 113,697 × 113,697
4. Step 4: Simplify right side
   51,897x = 12,927,007,809
5. Step 5: Solve for x
   x = 12,927,007,809/51,897
6. Step 6: Final answer
   x = 249,089.69