Finding the Third Proportional to 140,169 and 298,688

Step by Step Solution

1. Step 1: Write the proportion equation
   140,169 : 298,688 = 298,688 : x
2. Step 2: Convert to fraction form
   140,169/298,688 = 298,688/x
3. Step 3: Cross multiply
   140,169x = 298,688 × 298,688
4. Step 4: Simplify right side
   140,169x = 89,214,521,344
5. Step 5: Solve for x
   x = 89,214,521,344/140,169
6. Step 6: Final answer
   x = 636,478.26