Finding the Third Proportional to 65,688 and 139,218

Step by Step Solution

1. Step 1: Write the proportion equation
   65,688 : 139,218 = 139,218 : x
2. Step 2: Convert to fraction form
   65,688/139,218 = 139,218/x
3. Step 3: Cross multiply
   65,688x = 139,218 × 139,218
4. Step 4: Simplify right side
   65,688x = 19,381,651,524
5. Step 5: Solve for x
   x = 19,381,651,524/65,688
6. Step 6: Final answer
   x = 295,056.20