Finding the Third Proportional to 83,050 and 180,196

Step by Step Solution

1. Step 1: Write the proportion equation
   83,050 : 180,196 = 180,196 : x
2. Step 2: Convert to fraction form
   83,050/180,196 = 180,196/x
3. Step 3: Cross multiply
   83,050x = 180,196 × 180,196
4. Step 4: Simplify right side
   83,050x = 32,470,598,416
5. Step 5: Solve for x
   x = 32,470,598,416/83,050
6. Step 6: Final answer
   x = 390,976.50