Finding the Third Proportional to 164,024 and 353,196

Step by Step Solution

1. Step 1: Write the proportion equation
   164,024 : 353,196 = 353,196 : x
2. Step 2: Convert to fraction form
   164,024/353,196 = 353,196/x
3. Step 3: Cross multiply
   164,024x = 353,196 × 353,196
4. Step 4: Simplify right side
   164,024x = 124,747,414,416
5. Step 5: Solve for x
   x = 124,747,414,416/164,024
6. Step 6: Final answer
   x = 760,543.67