Finding the Third Proportional to 164,756 and 359,716

Step by Step Solution

1. Step 1: Write the proportion equation
   164,756 : 359,716 = 359,716 : x
2. Step 2: Convert to fraction form
   164,756/359,716 = 359,716/x
3. Step 3: Cross multiply
   164,756x = 359,716 × 359,716
4. Step 4: Simplify right side
   164,756x = 129,395,600,656
5. Step 5: Solve for x
   x = 129,395,600,656/164,756
6. Step 6: Final answer
   x = 785,377.17