Finding the Third Proportional to 407,234 and 621,384

Step by Step Solution

1. Step 1: Write the proportion equation
   407,234 : 621,384 = 621,384 : x
2. Step 2: Convert to fraction form
   407,234/621,384 = 621,384/x
3. Step 3: Cross multiply
   407,234x = 621,384 × 621,384
4. Step 4: Simplify right side
   407,234x = 386,118,075,456
5. Step 5: Solve for x
   x = 386,118,075,456/407,234
6. Step 6: Final answer
   x = 948,147.93