Finding the Third Proportional to 164,870 and 355,334

Step by Step Solution

1. Step 1: Write the proportion equation
   164,870 : 355,334 = 355,334 : x
2. Step 2: Convert to fraction form
   164,870/355,334 = 355,334/x
3. Step 3: Cross multiply
   164,870x = 355,334 × 355,334
4. Step 4: Simplify right side
   164,870x = 126,262,251,556
5. Step 5: Solve for x
   x = 126,262,251,556/164,870
6. Step 6: Final answer
   x = 765,829.15