Finding the Third Proportional to 65,457 and 139,662

Step by Step Solution

1. Step 1: Write the proportion equation
   65,457 : 139,662 = 139,662 : x
2. Step 2: Convert to fraction form
   65,457/139,662 = 139,662/x
3. Step 3: Cross multiply
   65,457x = 139,662 × 139,662
4. Step 4: Simplify right side
   65,457x = 19,505,474,244
5. Step 5: Solve for x
   x = 19,505,474,244/65,457
6. Step 6: Final answer
   x = 297,989.13