Finding the Third Proportional to 82,323 and 167,562

Step by Step Solution

1. Step 1: Write the proportion equation
   82,323 : 167,562 = 167,562 : x
2. Step 2: Convert to fraction form
   82,323/167,562 = 167,562/x
3. Step 3: Cross multiply
   82,323x = 167,562 × 167,562
4. Step 4: Simplify right side
   82,323x = 28,077,023,844
5. Step 5: Solve for x
   x = 28,077,023,844/82,323
6. Step 6: Final answer
   x = 341,059.29