Finding the Third Proportional to 82,813 and 178,854

Step by Step Solution

1. Step 1: Write the proportion equation
   82,813 : 178,854 = 178,854 : x
2. Step 2: Convert to fraction form
   82,813/178,854 = 178,854/x
3. Step 3: Cross multiply
   82,813x = 178,854 × 178,854
4. Step 4: Simplify right side
   82,813x = 31,988,753,316
5. Step 5: Solve for x
   x = 31,988,753,316/82,813
6. Step 6: Final answer
   x = 386,276.95