Finding the Third Proportional to 102,204 and 140,736

Step by Step Solution

1. Step 1: Write the proportion equation
   102,204 : 140,736 = 140,736 : x
2. Step 2: Convert to fraction form
   102,204/140,736 = 140,736/x
3. Step 3: Cross multiply
   102,204x = 140,736 × 140,736
4. Step 4: Simplify right side
   102,204x = 19,806,621,696
5. Step 5: Solve for x
   x = 19,806,621,696/102,204
6. Step 6: Final answer
   x = 193,794.98