Finding the Third Proportional to 39,510 and 85,578

Step by Step Solution

1. Step 1: Write the proportion equation
   39,510 : 85,578 = 85,578 : x
2. Step 2: Convert to fraction form
   39,510/85,578 = 85,578/x
3. Step 3: Cross multiply
   39,510x = 85,578 × 85,578
4. Step 4: Simplify right side
   39,510x = 7,323,594,084
5. Step 5: Solve for x
   x = 7,323,594,084/39,510
6. Step 6: Final answer
   x = 185,360.52