Finding the Third Proportional to 137,199 and 300,633

Step by Step Solution

1. Step 1: Write the proportion equation
   137,199 : 300,633 = 300,633 : x
2. Step 2: Convert to fraction form
   137,199/300,633 = 300,633/x
3. Step 3: Cross multiply
   137,199x = 300,633 × 300,633
4. Step 4: Simplify right side
   137,199x = 90,380,200,689
5. Step 5: Solve for x
   x = 90,380,200,689/137,199
6. Step 6: Final answer
   x = 658,752.62