Finding the Third Proportional to 414,533 and 885,946

Step by Step Solution

1. Step 1: Write the proportion equation
   414,533 : 885,946 = 885,946 : x
2. Step 2: Convert to fraction form
   414,533/885,946 = 885,946/x
3. Step 3: Cross multiply
   414,533x = 885,946 × 885,946
4. Step 4: Simplify right side
   414,533x = 784,900,314,916
5. Step 5: Solve for x
   x = 784,900,314,916/414,533
6. Step 6: Final answer
   x = 1,893,456.77