Finding the Third Proportional to 51,776 and 113,308

Step by Step Solution

1. Step 1: Write the proportion equation
   51,776 : 113,308 = 113,308 : x
2. Step 2: Convert to fraction form
   51,776/113,308 = 113,308/x
3. Step 3: Cross multiply
   51,776x = 113,308 × 113,308
4. Step 4: Simplify right side
   51,776x = 12,838,702,864
5. Step 5: Solve for x
   x = 12,838,702,864/51,776
6. Step 6: Final answer
   x = 247,966.29