Finding the Third Proportional to 49,500 and 113,346

Step by Step Solution

1. Step 1: Write the proportion equation
   49,500 : 113,346 = 113,346 : x
2. Step 2: Convert to fraction form
   49,500/113,346 = 113,346/x
3. Step 3: Cross multiply
   49,500x = 113,346 × 113,346
4. Step 4: Simplify right side
   49,500x = 12,847,315,716
5. Step 5: Solve for x
   x = 12,847,315,716/49,500
6. Step 6: Final answer
   x = 259,541.73