Finding the Third Proportional to 166,451 and 359,505

Step by Step Solution

1. Step 1: Write the proportion equation
   166,451 : 359,505 = 359,505 : x
2. Step 2: Convert to fraction form
   166,451/359,505 = 359,505/x
3. Step 3: Cross multiply
   166,451x = 359,505 × 359,505
4. Step 4: Simplify right side
   166,451x = 129,243,845,025
5. Step 5: Solve for x
   x = 129,243,845,025/166,451
6. Step 6: Final answer
   x = 776,467.82