Finding the Third Proportional to 414,111 and 887,280

Step by Step Solution

1. Step 1: Write the proportion equation
   414,111 : 887,280 = 887,280 : x
2. Step 2: Convert to fraction form
   414,111/887,280 = 887,280/x
3. Step 3: Cross multiply
   414,111x = 887,280 × 887,280
4. Step 4: Simplify right side
   414,111x = 787,265,798,400
5. Step 5: Solve for x
   x = 787,265,798,400/414,111
6. Step 6: Final answer
   x = 1,901,098.49