Finding the Third Proportional to 136,216 and 204,510

Step by Step Solution

1. Step 1: Write the proportion equation
   136,216 : 204,510 = 204,510 : x
2. Step 2: Convert to fraction form
   136,216/204,510 = 204,510/x
3. Step 3: Cross multiply
   136,216x = 204,510 × 204,510
4. Step 4: Simplify right side
   136,216x = 41,824,340,100
5. Step 5: Solve for x
   x = 41,824,340,100/136,216
6. Step 6: Final answer
   x = 307,044.25