Finding the Third Proportional to 419,418 and 912,564

Step by Step Solution

1. Step 1: Write the proportion equation
   419,418 : 912,564 = 912,564 : x
2. Step 2: Convert to fraction form
   419,418/912,564 = 912,564/x
3. Step 3: Cross multiply
   419,418x = 912,564 × 912,564
4. Step 4: Simplify right side
   419,418x = 832,773,054,096
5. Step 5: Solve for x
   x = 832,773,054,096/419,418
6. Step 6: Final answer
   x = 1,985,544.38