Finding the Third Proportional to 82,822 and 178,757

Step by Step Solution

1. Step 1: Write the proportion equation
   82,822 : 178,757 = 178,757 : x
2. Step 2: Convert to fraction form
   82,822/178,757 = 178,757/x
3. Step 3: Cross multiply
   82,822x = 178,757 × 178,757
4. Step 4: Simplify right side
   82,822x = 31,954,065,049
5. Step 5: Solve for x
   x = 31,954,065,049/82,822
6. Step 6: Final answer
   x = 385,816.15