Finding the Third Proportional to 51,994 and 113,492

Step by Step Solution

1. Step 1: Write the proportion equation
   51,994 : 113,492 = 113,492 : x
2. Step 2: Convert to fraction form
   51,994/113,492 = 113,492/x
3. Step 3: Cross multiply
   51,994x = 113,492 × 113,492
4. Step 4: Simplify right side
   51,994x = 12,880,434,064
5. Step 5: Solve for x
   x = 12,880,434,064/51,994
6. Step 6: Final answer
   x = 247,729.24