Finding the Third Proportional to 108,882 and 166,564.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108,882 : 166,564.50 = 166,564.50 : x
2. Step 2: Convert to fraction form
   108,882/166,564.50 = 166,564.50/x
3. Step 3: Cross multiply
   108,882x = 166,564.50 × 166,564.50
4. Step 4: Simplify right side
   108,882x = 27,743,732,660.25
5. Step 5: Solve for x
   x = 27,743,732,660.25/108,882
6. Step 6: Final answer
   x = 254,805.50