Finding the Third Proportional to 65,462 and 103,823

Step by Step Solution

1. Step 1: Write the proportion equation
   65,462 : 103,823 = 103,823 : x
2. Step 2: Convert to fraction form
   65,462/103,823 = 103,823/x
3. Step 3: Cross multiply
   65,462x = 103,823 × 103,823
4. Step 4: Simplify right side
   65,462x = 10,779,215,329
5. Step 5: Solve for x
   x = 10,779,215,329/65,462
6. Step 6: Final answer
   x = 164,663.70