Finding the Third Proportional to 65,952 and 139,770

Step by Step Solution

1. Step 1: Write the proportion equation
   65,952 : 139,770 = 139,770 : x
2. Step 2: Convert to fraction form
   65,952/139,770 = 139,770/x
3. Step 3: Cross multiply
   65,952x = 139,770 × 139,770
4. Step 4: Simplify right side
   65,952x = 19,535,652,900
5. Step 5: Solve for x
   x = 19,535,652,900/65,952
6. Step 6: Final answer
   x = 296,210.17