Finding the Third Proportional to 82,665 and 176,994

Step by Step Solution

1. Step 1: Write the proportion equation
   82,665 : 176,994 = 176,994 : x
2. Step 2: Convert to fraction form
   82,665/176,994 = 176,994/x
3. Step 3: Cross multiply
   82,665x = 176,994 × 176,994
4. Step 4: Simplify right side
   82,665x = 31,326,876,036
5. Step 5: Solve for x
   x = 31,326,876,036/82,665
6. Step 6: Final answer
   x = 378,961.79