Finding the Third Proportional to 83,612 and 180,860

Step by Step Solution

1. Step 1: Write the proportion equation
   83,612 : 180,860 = 180,860 : x
2. Step 2: Convert to fraction form
   83,612/180,860 = 180,860/x
3. Step 3: Cross multiply
   83,612x = 180,860 × 180,860
4. Step 4: Simplify right side
   83,612x = 32,710,339,600
5. Step 5: Solve for x
   x = 32,710,339,600/83,612
6. Step 6: Final answer
   x = 391,215.85