Finding the Third Proportional to 418,096 and 617,300

Step by Step Solution

1. Step 1: Write the proportion equation
   418,096 : 617,300 = 617,300 : x
2. Step 2: Convert to fraction form
   418,096/617,300 = 617,300/x
3. Step 3: Cross multiply
   418,096x = 617,300 × 617,300
4. Step 4: Simplify right side
   418,096x = 381,059,290,000
5. Step 5: Solve for x
   x = 381,059,290,000/418,096
6. Step 6: Final answer
   x = 911,415.78