Finding the Third Proportional to 414,921 and 619,726

Step by Step Solution

1. Step 1: Write the proportion equation
   414,921 : 619,726 = 619,726 : x
2. Step 2: Convert to fraction form
   414,921/619,726 = 619,726/x
3. Step 3: Cross multiply
   414,921x = 619,726 × 619,726
4. Step 4: Simplify right side
   414,921x = 384,060,315,076
5. Step 5: Solve for x
   x = 384,060,315,076/414,921
6. Step 6: Final answer
   x = 925,622.75