Finding the Third Proportional to 115,290 and 178,050

Step by Step Solution

1. Step 1: Write the proportion equation
   115,290 : 178,050 = 178,050 : x
2. Step 2: Convert to fraction form
   115,290/178,050 = 178,050/x
3. Step 3: Cross multiply
   115,290x = 178,050 × 178,050
4. Step 4: Simplify right side
   115,290x = 31,701,802,500
5. Step 5: Solve for x
   x = 31,701,802,500/115,290
6. Step 6: Final answer
   x = 274,974.43