Finding the Third Proportional to 30,323 and 65,578

Step by Step Solution

1. Step 1: Write the proportion equation
   30,323 : 65,578 = 65,578 : x
2. Step 2: Convert to fraction form
   30,323/65,578 = 65,578/x
3. Step 3: Cross multiply
   30,323x = 65,578 × 65,578
4. Step 4: Simplify right side
   30,323x = 4,300,474,084
5. Step 5: Solve for x
   x = 4,300,474,084/30,323
6. Step 6: Final answer
   x = 141,822.18