Finding the Third Proportional to 78,281 and 104,865

Step by Step Solution

1. Step 1: Write the proportion equation
   78,281 : 104,865 = 104,865 : x
2. Step 2: Convert to fraction form
   78,281/104,865 = 104,865/x
3. Step 3: Cross multiply
   78,281x = 104,865 × 104,865
4. Step 4: Simplify right side
   78,281x = 10,996,668,225
5. Step 5: Solve for x
   x = 10,996,668,225/78,281
6. Step 6: Final answer
   x = 140,476.85