Finding the Third Proportional to 359,824 and 528,064

Step by Step Solution

1. Step 1: Write the proportion equation
   359,824 : 528,064 = 528,064 : x
2. Step 2: Convert to fraction form
   359,824/528,064 = 528,064/x
3. Step 3: Cross multiply
   359,824x = 528,064 × 528,064
4. Step 4: Simplify right side
   359,824x = 278,851,588,096
5. Step 5: Solve for x
   x = 278,851,588,096/359,824
6. Step 6: Final answer
   x = 774,966.62