Finding the Third Proportional to 140,116 and 192,674

Step by Step Solution

1. Step 1: Write the proportion equation
   140,116 : 192,674 = 192,674 : x
2. Step 2: Convert to fraction form
   140,116/192,674 = 192,674/x
3. Step 3: Cross multiply
   140,116x = 192,674 × 192,674
4. Step 4: Simplify right side
   140,116x = 37,123,270,276
5. Step 5: Solve for x
   x = 37,123,270,276/140,116
6. Step 6: Final answer
   x = 264,946.69