Finding the Third Proportional to 49,827 and 109,500

Step by Step Solution

1. Step 1: Write the proportion equation
   49,827 : 109,500 = 109,500 : x
2. Step 2: Convert to fraction form
   49,827/109,500 = 109,500/x
3. Step 3: Cross multiply
   49,827x = 109,500 × 109,500
4. Step 4: Simplify right side
   49,827x = 11,990,250,000
5. Step 5: Solve for x
   x = 11,990,250,000/49,827
6. Step 6: Final answer
   x = 240,637.61