Finding the Third Proportional to 108,083 and 173,658

Step by Step Solution

1. Step 1: Write the proportion equation
   108,083 : 173,658 = 173,658 : x
2. Step 2: Convert to fraction form
   108,083/173,658 = 173,658/x
3. Step 3: Cross multiply
   108,083x = 173,658 × 173,658
4. Step 4: Simplify right side
   108,083x = 30,157,100,964
5. Step 5: Solve for x
   x = 30,157,100,964/108,083
6. Step 6: Final answer
   x = 279,017.99