Finding the Third Proportional to 83,810 and 180,742

Step by Step Solution

1. Step 1: Write the proportion equation
   83,810 : 180,742 = 180,742 : x
2. Step 2: Convert to fraction form
   83,810/180,742 = 180,742/x
3. Step 3: Cross multiply
   83,810x = 180,742 × 180,742
4. Step 4: Simplify right side
   83,810x = 32,667,670,564
5. Step 5: Solve for x
   x = 32,667,670,564/83,810
6. Step 6: Final answer
   x = 389,782.49