Finding the Third Proportional to 78,285 and 104,871

Step by Step Solution

1. Step 1: Write the proportion equation
   78,285 : 104,871 = 104,871 : x
2. Step 2: Convert to fraction form
   78,285/104,871 = 104,871/x
3. Step 3: Cross multiply
   78,285x = 104,871 × 104,871
4. Step 4: Simplify right side
   78,285x = 10,997,926,641
5. Step 5: Solve for x
   x = 10,997,926,641/78,285
6. Step 6: Final answer
   x = 140,485.75