Finding the Third Proportional to 51,951 and 113,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,951 : 113,623.50 = 113,623.50 : x
2. Step 2: Convert to fraction form
   51,951/113,623.50 = 113,623.50/x
3. Step 3: Cross multiply
   51,951x = 113,623.50 × 113,623.50
4. Step 4: Simplify right side
   51,951x = 12,910,299,752.25
5. Step 5: Solve for x
   x = 12,910,299,752.25/51,951
6. Step 6: Final answer
   x = 248,509.17