Finding the Third Proportional to 65,462 and 102,406

Step by Step Solution

1. Step 1: Write the proportion equation
   65,462 : 102,406 = 102,406 : x
2. Step 2: Convert to fraction form
   65,462/102,406 = 102,406/x
3. Step 3: Cross multiply
   65,462x = 102,406 × 102,406
4. Step 4: Simplify right side
   65,462x = 10,486,988,836
5. Step 5: Solve for x
   x = 10,486,988,836/65,462
6. Step 6: Final answer
   x = 160,199.64