Finding the Third Proportional to 108,824 and 166,364

Step by Step Solution

1. Step 1: Write the proportion equation
   108,824 : 166,364 = 166,364 : x
2. Step 2: Convert to fraction form
   108,824/166,364 = 166,364/x
3. Step 3: Cross multiply
   108,824x = 166,364 × 166,364
4. Step 4: Simplify right side
   108,824x = 27,676,980,496
5. Step 5: Solve for x
   x = 27,676,980,496/108,824
6. Step 6: Final answer
   x = 254,327.91