Finding the Third Proportional to 51,605 and 113,053

Step by Step Solution

1. Step 1: Write the proportion equation
   51,605 : 113,053 = 113,053 : x
2. Step 2: Convert to fraction form
   51,605/113,053 = 113,053/x
3. Step 3: Cross multiply
   51,605x = 113,053 × 113,053
4. Step 4: Simplify right side
   51,605x = 12,780,980,809
5. Step 5: Solve for x
   x = 12,780,980,809/51,605
6. Step 6: Final answer
   x = 247,669.43