Finding the Third Proportional to 51,264 and 113,191

Step by Step Solution

1. Step 1: Write the proportion equation
   51,264 : 113,191 = 113,191 : x
2. Step 2: Convert to fraction form
   51,264/113,191 = 113,191/x
3. Step 3: Cross multiply
   51,264x = 113,191 × 113,191
4. Step 4: Simplify right side
   51,264x = 12,812,202,481
5. Step 5: Solve for x
   x = 12,812,202,481/51,264
6. Step 6: Final answer
   x = 249,925.92