Finding the Third Proportional to 136,016 and 288,196

Step by Step Solution

1. Step 1: Write the proportion equation
   136,016 : 288,196 = 288,196 : x
2. Step 2: Convert to fraction form
   136,016/288,196 = 288,196/x
3. Step 3: Cross multiply
   136,016x = 288,196 × 288,196
4. Step 4: Simplify right side
   136,016x = 83,056,934,416
5. Step 5: Solve for x
   x = 83,056,934,416/136,016
6. Step 6: Final answer
   x = 610,640.91