Finding the Third Proportional to 64,807 and 105,823

Step by Step Solution

1. Step 1: Write the proportion equation
   64,807 : 105,823 = 105,823 : x
2. Step 2: Convert to fraction form
   64,807/105,823 = 105,823/x
3. Step 3: Cross multiply
   64,807x = 105,823 × 105,823
4. Step 4: Simplify right side
   64,807x = 11,198,507,329
5. Step 5: Solve for x
   x = 11,198,507,329/64,807
6. Step 6: Final answer
   x = 172,797.80