Finding the Third Proportional to 82,390 and 180,822

Step by Step Solution

1. Step 1: Write the proportion equation
   82,390 : 180,822 = 180,822 : x
2. Step 2: Convert to fraction form
   82,390/180,822 = 180,822/x
3. Step 3: Cross multiply
   82,390x = 180,822 × 180,822
4. Step 4: Simplify right side
   82,390x = 32,696,595,684
5. Step 5: Solve for x
   x = 32,696,595,684/82,390
6. Step 6: Final answer
   x = 396,851.51