Finding the Third Proportional to 65,690 and 139,576

Step by Step Solution

1. Step 1: Write the proportion equation
   65,690 : 139,576 = 139,576 : x
2. Step 2: Convert to fraction form
   65,690/139,576 = 139,576/x
3. Step 3: Cross multiply
   65,690x = 139,576 × 139,576
4. Step 4: Simplify right side
   65,690x = 19,481,459,776
5. Step 5: Solve for x
   x = 19,481,459,776/65,690
6. Step 6: Final answer
   x = 296,566.60