Finding the Third Proportional to 108,704 and 164,208

Step by Step Solution

1. Step 1: Write the proportion equation
   108,704 : 164,208 = 164,208 : x
2. Step 2: Convert to fraction form
   108,704/164,208 = 164,208/x
3. Step 3: Cross multiply
   108,704x = 164,208 × 164,208
4. Step 4: Simplify right side
   108,704x = 26,964,267,264
5. Step 5: Solve for x
   x = 26,964,267,264/108,704
6. Step 6: Final answer
   x = 248,052.21