Finding the Third Proportional to 82,747 and 178,617

Step by Step Solution

1. Step 1: Write the proportion equation
   82,747 : 178,617 = 178,617 : x
2. Step 2: Convert to fraction form
   82,747/178,617 = 178,617/x
3. Step 3: Cross multiply
   82,747x = 178,617 × 178,617
4. Step 4: Simplify right side
   82,747x = 31,904,032,689
5. Step 5: Solve for x
   x = 31,904,032,689/82,747
6. Step 6: Final answer
   x = 385,561.20