Finding the Third Proportional to 49,578 and 96,665.25

Step by Step Solution

1. Step 1: Write the proportion equation
   49,578 : 96,665.25 = 96,665.25 : x
2. Step 2: Convert to fraction form
   49,578/96,665.25 = 96,665.25/x
3. Step 3: Cross multiply
   49,578x = 96,665.25 × 96,665.25
4. Step 4: Simplify right side
   49,578x = 9,344,170,557.56
5. Step 5: Solve for x
   x = 9,344,170,557.56/49,578
6. Step 6: Final answer
   x = 188,474.13