Finding the Third Proportional to 83,196 and 180,404

Step by Step Solution

1. Step 1: Write the proportion equation
   83,196 : 180,404 = 180,404 : x
2. Step 2: Convert to fraction form
   83,196/180,404 = 180,404/x
3. Step 3: Cross multiply
   83,196x = 180,404 × 180,404
4. Step 4: Simplify right side
   83,196x = 32,545,603,216
5. Step 5: Solve for x
   x = 32,545,603,216/83,196
6. Step 6: Final answer
   x = 391,191.92