Finding the Third Proportional to 49,362 and 76,578

Step by Step Solution

1. Step 1: Write the proportion equation
   49,362 : 76,578 = 76,578 : x
2. Step 2: Convert to fraction form
   49,362/76,578 = 76,578/x
3. Step 3: Cross multiply
   49,362x = 76,578 × 76,578
4. Step 4: Simplify right side
   49,362x = 5,864,190,084
5. Step 5: Solve for x
   x = 5,864,190,084/49,362
6. Step 6: Final answer
   x = 118,799.69