Finding the Third Proportional to 49,587 and 108,970.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,587 : 108,970.50 = 108,970.50 : x
2. Step 2: Convert to fraction form
   49,587/108,970.50 = 108,970.50/x
3. Step 3: Cross multiply
   49,587x = 108,970.50 × 108,970.50
4. Step 4: Simplify right side
   49,587x = 11,874,569,870.25
5. Step 5: Solve for x
   x = 11,874,569,870.25/49,587
6. Step 6: Final answer
   x = 239,469.41