Finding the Third Proportional to 51,664 and 113,012

Step by Step Solution

1. Step 1: Write the proportion equation
   51,664 : 113,012 = 113,012 : x
2. Step 2: Convert to fraction form
   51,664/113,012 = 113,012/x
3. Step 3: Cross multiply
   51,664x = 113,012 × 113,012
4. Step 4: Simplify right side
   51,664x = 12,771,712,144
5. Step 5: Solve for x
   x = 12,771,712,144/51,664
6. Step 6: Final answer
   x = 247,207.19