Finding the Third Proportional to 82,664 and 180,090

Step by Step Solution

1. Step 1: Write the proportion equation
   82,664 : 180,090 = 180,090 : x
2. Step 2: Convert to fraction form
   82,664/180,090 = 180,090/x
3. Step 3: Cross multiply
   82,664x = 180,090 × 180,090
4. Step 4: Simplify right side
   82,664x = 32,432,408,100
5. Step 5: Solve for x
   x = 32,432,408,100/82,664
6. Step 6: Final answer
   x = 392,340.17