Finding the Third Proportional to 83,034 and 179,892

Step by Step Solution

1. Step 1: Write the proportion equation
   83,034 : 179,892 = 179,892 : x
2. Step 2: Convert to fraction form
   83,034/179,892 = 179,892/x
3. Step 3: Cross multiply
   83,034x = 179,892 × 179,892
4. Step 4: Simplify right side
   83,034x = 32,361,131,664
5. Step 5: Solve for x
   x = 32,361,131,664/83,034
6. Step 6: Final answer
   x = 389,733.50