Finding the Third Proportional to 130,164 and 196,353

Step by Step Solution

1. Step 1: Write the proportion equation
   130,164 : 196,353 = 196,353 : x
2. Step 2: Convert to fraction form
   130,164/196,353 = 196,353/x
3. Step 3: Cross multiply
   130,164x = 196,353 × 196,353
4. Step 4: Simplify right side
   130,164x = 38,554,500,609
5. Step 5: Solve for x
   x = 38,554,500,609/130,164
6. Step 6: Final answer
   x = 296,199.41