Finding the Third Proportional to 131,416 and 200,380

Step by Step Solution

1. Step 1: Write the proportion equation
   131,416 : 200,380 = 200,380 : x
2. Step 2: Convert to fraction form
   131,416/200,380 = 200,380/x
3. Step 3: Cross multiply
   131,416x = 200,380 × 200,380
4. Step 4: Simplify right side
   131,416x = 40,152,144,400
5. Step 5: Solve for x
   x = 40,152,144,400/131,416
6. Step 6: Final answer
   x = 305,534.67