Finding the Third Proportional to 164,228 and 353,012

Step by Step Solution

1. Step 1: Write the proportion equation
   164,228 : 353,012 = 353,012 : x
2. Step 2: Convert to fraction form
   164,228/353,012 = 353,012/x
3. Step 3: Cross multiply
   164,228x = 353,012 × 353,012
4. Step 4: Simplify right side
   164,228x = 124,617,472,144
5. Step 5: Solve for x
   x = 124,617,472,144/164,228
6. Step 6: Final answer
   x = 758,807.71