Finding the Third Proportional to 84,884 and 178,300

Step by Step Solution

1. Step 1: Write the proportion equation
   84,884 : 178,300 = 178,300 : x
2. Step 2: Convert to fraction form
   84,884/178,300 = 178,300/x
3. Step 3: Cross multiply
   84,884x = 178,300 × 178,300
4. Step 4: Simplify right side
   84,884x = 31,790,890,000
5. Step 5: Solve for x
   x = 31,790,890,000/84,884
6. Step 6: Final answer
   x = 374,521.58