Finding the Third Proportional to 108,101 and 173,692

Step by Step Solution

1. Step 1: Write the proportion equation
   108,101 : 173,692 = 173,692 : x
2. Step 2: Convert to fraction form
   108,101/173,692 = 173,692/x
3. Step 3: Cross multiply
   108,101x = 173,692 × 173,692
4. Step 4: Simplify right side
   108,101x = 30,168,910,864
5. Step 5: Solve for x
   x = 30,168,910,864/108,101
6. Step 6: Final answer
   x = 279,080.78