Finding the Third Proportional to 152,021 and 200,096

Step by Step Solution

1. Step 1: Write the proportion equation
   152,021 : 200,096 = 200,096 : x
2. Step 2: Convert to fraction form
   152,021/200,096 = 200,096/x
3. Step 3: Cross multiply
   152,021x = 200,096 × 200,096
4. Step 4: Simplify right side
   152,021x = 40,038,409,216
5. Step 5: Solve for x
   x = 40,038,409,216/152,021
6. Step 6: Final answer
   x = 263,374.20