Finding the Third Proportional to 267,200 and 414,300

Step by Step Solution

1. Step 1: Write the proportion equation
   267,200 : 414,300 = 414,300 : x
2. Step 2: Convert to fraction form
   267,200/414,300 = 414,300/x
3. Step 3: Cross multiply
   267,200x = 414,300 × 414,300
4. Step 4: Simplify right side
   267,200x = 171,644,490,000
5. Step 5: Solve for x
   x = 171,644,490,000/267,200
6. Step 6: Final answer
   x = 642,382.07