Finding the Third Proportional to 49,381.50 and 105,324

Step by Step Solution

1. Step 1: Write the proportion equation
   49,381.50 : 105,324 = 105,324 : x
2. Step 2: Convert to fraction form
   49,381.50/105,324 = 105,324/x
3. Step 3: Cross multiply
   49,381.50x = 105,324 × 105,324
4. Step 4: Simplify right side
   49,381.50x = 11,093,144,976
5. Step 5: Solve for x
   x = 11,093,144,976/49,381.50
6. Step 6: Final answer
   x = 224,641.72