Finding the Third Proportional to 65,694 and 139,230

Step by Step Solution

1. Step 1: Write the proportion equation
   65,694 : 139,230 = 139,230 : x
2. Step 2: Convert to fraction form
   65,694/139,230 = 139,230/x
3. Step 3: Cross multiply
   65,694x = 139,230 × 139,230
4. Step 4: Simplify right side
   65,694x = 19,384,992,900
5. Step 5: Solve for x
   x = 19,384,992,900/65,694
6. Step 6: Final answer
   x = 295,080.11