Finding the Third Proportional to 83,026 and 180,014

Step by Step Solution

1. Step 1: Write the proportion equation
   83,026 : 180,014 = 180,014 : x
2. Step 2: Convert to fraction form
   83,026/180,014 = 180,014/x
3. Step 3: Cross multiply
   83,026x = 180,014 × 180,014
4. Step 4: Simplify right side
   83,026x = 32,405,040,196
5. Step 5: Solve for x
   x = 32,405,040,196/83,026
6. Step 6: Final answer
   x = 390,299.91