Finding the Third Proportional to 83,022 and 180,156

Step by Step Solution

1. Step 1: Write the proportion equation
   83,022 : 180,156 = 180,156 : x
2. Step 2: Convert to fraction form
   83,022/180,156 = 180,156/x
3. Step 3: Cross multiply
   83,022x = 180,156 × 180,156
4. Step 4: Simplify right side
   83,022x = 32,456,184,336
5. Step 5: Solve for x
   x = 32,456,184,336/83,022
6. Step 6: Final answer
   x = 390,934.74