Finding the Third Proportional to 414,546 and 885,972

Step by Step Solution

1. Step 1: Write the proportion equation
   414,546 : 885,972 = 885,972 : x
2. Step 2: Convert to fraction form
   414,546/885,972 = 885,972/x
3. Step 3: Cross multiply
   414,546x = 885,972 × 885,972
4. Step 4: Simplify right side
   414,546x = 784,946,384,784
5. Step 5: Solve for x
   x = 784,946,384,784/414,546
6. Step 6: Final answer
   x = 1,893,508.52