Finding the Third Proportional to 164,016.50 and 353,188

Step by Step Solution

1. Step 1: Write the proportion equation
   164,016.50 : 353,188 = 353,188 : x
2. Step 2: Convert to fraction form
   164,016.50/353,188 = 353,188/x
3. Step 3: Cross multiply
   164,016.50x = 353,188 × 353,188
4. Step 4: Simplify right side
   164,016.50x = 124,741,763,344
5. Step 5: Solve for x
   x = 124,741,763,344/164,016.50
6. Step 6: Final answer
   x = 760,543.99