Finding the Third Proportional to 82,406 and 180,850

Step by Step Solution

1. Step 1: Write the proportion equation
   82,406 : 180,850 = 180,850 : x
2. Step 2: Convert to fraction form
   82,406/180,850 = 180,850/x
3. Step 3: Cross multiply
   82,406x = 180,850 × 180,850
4. Step 4: Simplify right side
   82,406x = 32,706,722,500
5. Step 5: Solve for x
   x = 32,706,722,500/82,406
6. Step 6: Final answer
   x = 396,897.34