Finding the Third Proportional to 79,978 and 185,149

Step by Step Solution

1. Step 1: Write the proportion equation
   79,978 : 185,149 = 185,149 : x
2. Step 2: Convert to fraction form
   79,978/185,149 = 185,149/x
3. Step 3: Cross multiply
   79,978x = 185,149 × 185,149
4. Step 4: Simplify right side
   79,978x = 34,280,152,201
5. Step 5: Solve for x
   x = 34,280,152,201/79,978
6. Step 6: Final answer
   x = 428,619.77