Finding the Third Proportional to 82,430 and 179,958

Step by Step Solution

1. Step 1: Write the proportion equation
   82,430 : 179,958 = 179,958 : x
2. Step 2: Convert to fraction form
   82,430/179,958 = 179,958/x
3. Step 3: Cross multiply
   82,430x = 179,958 × 179,958
4. Step 4: Simplify right side
   82,430x = 32,384,881,764
5. Step 5: Solve for x
   x = 32,384,881,764/82,430
6. Step 6: Final answer
   x = 392,877.37