Finding the Third Proportional to 49,923 and 108,592.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,923 : 108,592.50 = 108,592.50 : x
2. Step 2: Convert to fraction form
   49,923/108,592.50 = 108,592.50/x
3. Step 3: Cross multiply
   49,923x = 108,592.50 × 108,592.50
4. Step 4: Simplify right side
   49,923x = 11,792,331,056.25
5. Step 5: Solve for x
   x = 11,792,331,056.25/49,923
6. Step 6: Final answer
   x = 236,210.39