Finding the Third Proportional to 65,408 and 103,640

Step by Step Solution

1. Step 1: Write the proportion equation
   65,408 : 103,640 = 103,640 : x
2. Step 2: Convert to fraction form
   65,408/103,640 = 103,640/x
3. Step 3: Cross multiply
   65,408x = 103,640 × 103,640
4. Step 4: Simplify right side
   65,408x = 10,741,249,600
5. Step 5: Solve for x
   x = 10,741,249,600/65,408
6. Step 6: Final answer
   x = 164,219.20