Finding the Third Proportional to 49,578.75 and 102,964.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,578.75 : 102,964.50 = 102,964.50 : x
2. Step 2: Convert to fraction form
   49,578.75/102,964.50 = 102,964.50/x
3. Step 3: Cross multiply
   49,578.75x = 102,964.50 × 102,964.50
4. Step 4: Simplify right side
   49,578.75x = 10,601,688,260.25
5. Step 5: Solve for x
   x = 10,601,688,260.25/49,578.75
6. Step 6: Final answer
   x = 213,835.33