Finding the Third Proportional to 159,666 and 266,099

Step by Step Solution

1. Step 1: Write the proportion equation
   159,666 : 266,099 = 266,099 : x
2. Step 2: Convert to fraction form
   159,666/266,099 = 266,099/x
3. Step 3: Cross multiply
   159,666x = 266,099 × 266,099
4. Step 4: Simplify right side
   159,666x = 70,808,677,801
5. Step 5: Solve for x
   x = 70,808,677,801/159,666
6. Step 6: Final answer
   x = 443,480.00