Finding the Third Proportional to 140,191 and 298,732

Step by Step Solution

1. Step 1: Write the proportion equation
   140,191 : 298,732 = 298,732 : x
2. Step 2: Convert to fraction form
   140,191/298,732 = 298,732/x
3. Step 3: Cross multiply
   140,191x = 298,732 × 298,732
4. Step 4: Simplify right side
   140,191x = 89,240,807,824
5. Step 5: Solve for x
   x = 89,240,807,824/140,191
6. Step 6: Final answer
   x = 636,565.88