Finding the Third Proportional to 140,774 and 298,820

Step by Step Solution

1. Step 1: Write the proportion equation
   140,774 : 298,820 = 298,820 : x
2. Step 2: Convert to fraction form
   140,774/298,820 = 298,820/x
3. Step 3: Cross multiply
   140,774x = 298,820 × 298,820
4. Step 4: Simplify right side
   140,774x = 89,293,392,400
5. Step 5: Solve for x
   x = 89,293,392,400/140,774
6. Step 6: Final answer
   x = 634,303.16