Finding the Third Proportional to 83,002 and 180,078

Step by Step Solution

1. Step 1: Write the proportion equation
   83,002 : 180,078 = 180,078 : x
2. Step 2: Convert to fraction form
   83,002/180,078 = 180,078/x
3. Step 3: Cross multiply
   83,002x = 180,078 × 180,078
4. Step 4: Simplify right side
   83,002x = 32,428,086,084
5. Step 5: Solve for x
   x = 32,428,086,084/83,002
6. Step 6: Final answer
   x = 390,690.42