Finding the Third Proportional to 99,666 and 166,104

Step by Step Solution

1. Step 1: Write the proportion equation
   99,666 : 166,104 = 166,104 : x
2. Step 2: Convert to fraction form
   99,666/166,104 = 166,104/x
3. Step 3: Cross multiply
   99,666x = 166,104 × 166,104
4. Step 4: Simplify right side
   99,666x = 27,590,538,816
5. Step 5: Solve for x
   x = 27,590,538,816/99,666
6. Step 6: Final answer
   x = 276,830.00