Finding the Third Proportional to 84,142 and 179,956

Step by Step Solution

1. Step 1: Write the proportion equation
   84,142 : 179,956 = 179,956 : x
2. Step 2: Convert to fraction form
   84,142/179,956 = 179,956/x
3. Step 3: Cross multiply
   84,142x = 179,956 × 179,956
4. Step 4: Simplify right side
   84,142x = 32,384,161,936
5. Step 5: Solve for x
   x = 32,384,161,936/84,142
6. Step 6: Final answer
   x = 384,875.12