Finding the Third Proportional to 82,155 and 177,426

Step by Step Solution

1. Step 1: Write the proportion equation
   82,155 : 177,426 = 177,426 : x
2. Step 2: Convert to fraction form
   82,155/177,426 = 177,426/x
3. Step 3: Cross multiply
   82,155x = 177,426 × 177,426
4. Step 4: Simplify right side
   82,155x = 31,479,985,476
5. Step 5: Solve for x
   x = 31,479,985,476/82,155
6. Step 6: Final answer
   x = 383,177.96