Finding the Third Proportional to 65,870 and 139,578

Step by Step Solution

1. Step 1: Write the proportion equation
   65,870 : 139,578 = 139,578 : x
2. Step 2: Convert to fraction form
   65,870/139,578 = 139,578/x
3. Step 3: Cross multiply
   65,870x = 139,578 × 139,578
4. Step 4: Simplify right side
   65,870x = 19,482,018,084
5. Step 5: Solve for x
   x = 19,482,018,084/65,870
6. Step 6: Final answer
   x = 295,764.66