Finding the Third Proportional to 80,170 and 154,196

Step by Step Solution

1. Step 1: Write the proportion equation
   80,170 : 154,196 = 154,196 : x
2. Step 2: Convert to fraction form
   80,170/154,196 = 154,196/x
3. Step 3: Cross multiply
   80,170x = 154,196 × 154,196
4. Step 4: Simplify right side
   80,170x = 23,776,406,416
5. Step 5: Solve for x
   x = 23,776,406,416/80,170
6. Step 6: Final answer
   x = 296,574.86