Finding the Third Proportional to 83,106 and 180,144

Step by Step Solution

1. Step 1: Write the proportion equation
   83,106 : 180,144 = 180,144 : x
2. Step 2: Convert to fraction form
   83,106/180,144 = 180,144/x
3. Step 3: Cross multiply
   83,106x = 180,144 × 180,144
4. Step 4: Simplify right side
   83,106x = 32,451,860,736
5. Step 5: Solve for x
   x = 32,451,860,736/83,106
6. Step 6: Final answer
   x = 390,487.58