Finding the Third Proportional to 126,164 and 195,321

Step by Step Solution

1. Step 1: Write the proportion equation
   126,164 : 195,321 = 195,321 : x
2. Step 2: Convert to fraction form
   126,164/195,321 = 195,321/x
3. Step 3: Cross multiply
   126,164x = 195,321 × 195,321
4. Step 4: Simplify right side
   126,164x = 38,150,293,041
5. Step 5: Solve for x
   x = 38,150,293,041/126,164
6. Step 6: Final answer
   x = 302,386.52