Finding the Third Proportional to 469,566 and 629,064

Step by Step Solution

1. Step 1: Write the proportion equation
   469,566 : 629,064 = 629,064 : x
2. Step 2: Convert to fraction form
   469,566/629,064 = 629,064/x
3. Step 3: Cross multiply
   469,566x = 629,064 × 629,064
4. Step 4: Simplify right side
   469,566x = 395,721,516,096
5. Step 5: Solve for x
   x = 395,721,516,096/469,566
6. Step 6: Final answer
   x = 842,738.86