Finding the Third Proportional to 435,912 and 584,640

Step by Step Solution

1. Step 1: Write the proportion equation
   435,912 : 584,640 = 584,640 : x
2. Step 2: Convert to fraction form
   435,912/584,640 = 584,640/x
3. Step 3: Cross multiply
   435,912x = 584,640 × 584,640
4. Step 4: Simplify right side
   435,912x = 341,803,929,600
5. Step 5: Solve for x
   x = 341,803,929,600/435,912
6. Step 6: Final answer
   x = 784,112.23