Finding the Third Proportional to 82,872 and 178,848

Step by Step Solution

1. Step 1: Write the proportion equation
   82,872 : 178,848 = 178,848 : x
2. Step 2: Convert to fraction form
   82,872/178,848 = 178,848/x
3. Step 3: Cross multiply
   82,872x = 178,848 × 178,848
4. Step 4: Simplify right side
   82,872x = 31,986,607,104
5. Step 5: Solve for x
   x = 31,986,607,104/82,872
6. Step 6: Final answer
   x = 385,976.05