Finding the Third Proportional to 79,979 and 185,155

Step by Step Solution

1. Step 1: Write the proportion equation
   79,979 : 185,155 = 185,155 : x
2. Step 2: Convert to fraction form
   79,979/185,155 = 185,155/x
3. Step 3: Cross multiply
   79,979x = 185,155 × 185,155
4. Step 4: Simplify right side
   79,979x = 34,282,374,025
5. Step 5: Solve for x
   x = 34,282,374,025/79,979
6. Step 6: Final answer
   x = 428,642.19