Finding the Third Proportional to 82,226 and 176,920

Step by Step Solution

1. Step 1: Write the proportion equation
   82,226 : 176,920 = 176,920 : x
2. Step 2: Convert to fraction form
   82,226/176,920 = 176,920/x
3. Step 3: Cross multiply
   82,226x = 176,920 × 176,920
4. Step 4: Simplify right side
   82,226x = 31,300,686,400
5. Step 5: Solve for x
   x = 31,300,686,400/82,226
6. Step 6: Final answer
   x = 380,666.53