Finding the Third Proportional to 166,606 and 359,822

Step by Step Solution

1. Step 1: Write the proportion equation
   166,606 : 359,822 = 359,822 : x
2. Step 2: Convert to fraction form
   166,606/359,822 = 359,822/x
3. Step 3: Cross multiply
   166,606x = 359,822 × 359,822
4. Step 4: Simplify right side
   166,606x = 129,471,871,684
5. Step 5: Solve for x
   x = 129,471,871,684/166,606
6. Step 6: Final answer
   x = 777,114.10