Finding the Third Proportional to 166,406 and 359,054

Step by Step Solution

1. Step 1: Write the proportion equation
   166,406 : 359,054 = 359,054 : x
2. Step 2: Convert to fraction form
   166,406/359,054 = 359,054/x
3. Step 3: Cross multiply
   166,406x = 359,054 × 359,054
4. Step 4: Simplify right side
   166,406x = 128,919,774,916
5. Step 5: Solve for x
   x = 128,919,774,916/166,406
6. Step 6: Final answer
   x = 774,730.33