Finding the Third Proportional to 84,422 and 180,142

Step by Step Solution

1. Step 1: Write the proportion equation
   84,422 : 180,142 = 180,142 : x
2. Step 2: Convert to fraction form
   84,422/180,142 = 180,142/x
3. Step 3: Cross multiply
   84,422x = 180,142 × 180,142
4. Step 4: Simplify right side
   84,422x = 32,451,140,164
5. Step 5: Solve for x
   x = 32,451,140,164/84,422
6. Step 6: Final answer
   x = 384,391.99