Finding the Third Proportional to 83,819 and 180,760

Step by Step Solution

1. Step 1: Write the proportion equation
   83,819 : 180,760 = 180,760 : x
2. Step 2: Convert to fraction form
   83,819/180,760 = 180,760/x
3. Step 3: Cross multiply
   83,819x = 180,760 × 180,760
4. Step 4: Simplify right side
   83,819x = 32,674,177,600
5. Step 5: Solve for x
   x = 32,674,177,600/83,819
6. Step 6: Final answer
   x = 389,818.27