Finding the Third Proportional to 82,725 and 179,445

Step by Step Solution

1. Step 1: Write the proportion equation
   82,725 : 179,445 = 179,445 : x
2. Step 2: Convert to fraction form
   82,725/179,445 = 179,445/x
3. Step 3: Cross multiply
   82,725x = 179,445 × 179,445
4. Step 4: Simplify right side
   82,725x = 32,200,508,025
5. Step 5: Solve for x
   x = 32,200,508,025/82,725
6. Step 6: Final answer
   x = 389,247.60