Finding the Third Proportional to 82,766 and 178,654

Step by Step Solution

1. Step 1: Write the proportion equation
   82,766 : 178,654 = 178,654 : x
2. Step 2: Convert to fraction form
   82,766/178,654 = 178,654/x
3. Step 3: Cross multiply
   82,766x = 178,654 × 178,654
4. Step 4: Simplify right side
   82,766x = 31,917,251,716
5. Step 5: Solve for x
   x = 31,917,251,716/82,766
6. Step 6: Final answer
   x = 385,632.41