Finding the Third Proportional to 137,288 and 300,820

Step by Step Solution

1. Step 1: Write the proportion equation
   137,288 : 300,820 = 300,820 : x
2. Step 2: Convert to fraction form
   137,288/300,820 = 300,820/x
3. Step 3: Cross multiply
   137,288x = 300,820 × 300,820
4. Step 4: Simplify right side
   137,288x = 90,492,672,400
5. Step 5: Solve for x
   x = 90,492,672,400/137,288
6. Step 6: Final answer
   x = 659,144.81