Finding the Third Proportional to 136,940 and 204,492

Step by Step Solution

1. Step 1: Write the proportion equation
   136,940 : 204,492 = 204,492 : x
2. Step 2: Convert to fraction form
   136,940/204,492 = 204,492/x
3. Step 3: Cross multiply
   136,940x = 204,492 × 204,492
4. Step 4: Simplify right side
   136,940x = 41,816,978,064
5. Step 5: Solve for x
   x = 41,816,978,064/136,940
6. Step 6: Final answer
   x = 305,367.15