Finding the Third Proportional to 166,401 and 359,046

Step by Step Solution

1. Step 1: Write the proportion equation
   166,401 : 359,046 = 359,046 : x
2. Step 2: Convert to fraction form
   166,401/359,046 = 359,046/x
3. Step 3: Cross multiply
   166,401x = 359,046 × 359,046
4. Step 4: Simplify right side
   166,401x = 128,914,030,116
5. Step 5: Solve for x
   x = 128,914,030,116/166,401
6. Step 6: Final answer
   x = 774,719.08