Finding the Third Proportional to 164,704 and 223,726

Step by Step Solution

1. Step 1: Write the proportion equation
   164,704 : 223,726 = 223,726 : x
2. Step 2: Convert to fraction form
   164,704/223,726 = 223,726/x
3. Step 3: Cross multiply
   164,704x = 223,726 × 223,726
4. Step 4: Simplify right side
   164,704x = 50,053,323,076
5. Step 5: Solve for x
   x = 50,053,323,076/164,704
6. Step 6: Final answer
   x = 303,898.65