Finding the Third Proportional to 82,746 and 178,236

Step by Step Solution

1. Step 1: Write the proportion equation
   82,746 : 178,236 = 178,236 : x
2. Step 2: Convert to fraction form
   82,746/178,236 = 178,236/x
3. Step 3: Cross multiply
   82,746x = 178,236 × 178,236
4. Step 4: Simplify right side
   82,746x = 31,768,071,696
5. Step 5: Solve for x
   x = 31,768,071,696/82,746
6. Step 6: Final answer
   x = 383,922.75