Finding the Third Proportional to 83,164 and 130,556

Step by Step Solution

1. Step 1: Write the proportion equation
   83,164 : 130,556 = 130,556 : x
2. Step 2: Convert to fraction form
   83,164/130,556 = 130,556/x
3. Step 3: Cross multiply
   83,164x = 130,556 × 130,556
4. Step 4: Simplify right side
   83,164x = 17,044,869,136
5. Step 5: Solve for x
   x = 17,044,869,136/83,164
6. Step 6: Final answer
   x = 204,954.90