Finding the Third Proportional to 89,026 and 180,500

Step by Step Solution

1. Step 1: Write the proportion equation
   89,026 : 180,500 = 180,500 : x
2. Step 2: Convert to fraction form
   89,026/180,500 = 180,500/x
3. Step 3: Cross multiply
   89,026x = 180,500 × 180,500
4. Step 4: Simplify right side
   89,026x = 32,580,250,000
5. Step 5: Solve for x
   x = 32,580,250,000/89,026
6. Step 6: Final answer
   x = 365,963.31