Finding the Third Proportional to 136,688 and 280,180

Step by Step Solution

1. Step 1: Write the proportion equation
   136,688 : 280,180 = 280,180 : x
2. Step 2: Convert to fraction form
   136,688/280,180 = 280,180/x
3. Step 3: Cross multiply
   136,688x = 280,180 × 280,180
4. Step 4: Simplify right side
   136,688x = 78,500,832,400
5. Step 5: Solve for x
   x = 78,500,832,400/136,688
6. Step 6: Final answer
   x = 574,306.69