Finding the Third Proportional to 82,681 and 179,090

Step by Step Solution

1. Step 1: Write the proportion equation
   82,681 : 179,090 = 179,090 : x
2. Step 2: Convert to fraction form
   82,681/179,090 = 179,090/x
3. Step 3: Cross multiply
   82,681x = 179,090 × 179,090
4. Step 4: Simplify right side
   82,681x = 32,073,228,100
5. Step 5: Solve for x
   x = 32,073,228,100/82,681
6. Step 6: Final answer
   x = 387,915.34