Finding the Third Proportional to 82,573 and 180,967

Step by Step Solution

1. Step 1: Write the proportion equation
   82,573 : 180,967 = 180,967 : x
2. Step 2: Convert to fraction form
   82,573/180,967 = 180,967/x
3. Step 3: Cross multiply
   82,573x = 180,967 × 180,967
4. Step 4: Simplify right side
   82,573x = 32,749,055,089
5. Step 5: Solve for x
   x = 32,749,055,089/82,573
6. Step 6: Final answer
   x = 396,607.31