Finding the Third Proportional to 49,786.50 and 107,523

Step by Step Solution

1. Step 1: Write the proportion equation
   49,786.50 : 107,523 = 107,523 : x
2. Step 2: Convert to fraction form
   49,786.50/107,523 = 107,523/x
3. Step 3: Cross multiply
   49,786.50x = 107,523 × 107,523
4. Step 4: Simplify right side
   49,786.50x = 11,561,195,529
5. Step 5: Solve for x
   x = 11,561,195,529/49,786.50
6. Step 6: Final answer
   x = 232,215.47