Finding the Third Proportional to 414,516 and 885,904

Step by Step Solution

1. Step 1: Write the proportion equation
   414,516 : 885,904 = 885,904 : x
2. Step 2: Convert to fraction form
   414,516/885,904 = 885,904/x
3. Step 3: Cross multiply
   414,516x = 885,904 × 885,904
4. Step 4: Simplify right side
   414,516x = 784,825,897,216
5. Step 5: Solve for x
   x = 784,825,897,216/414,516
6. Step 6: Final answer
   x = 1,893,354.89