Finding the Third Proportional to 345,536 and 533,064

Step by Step Solution

1. Step 1: Write the proportion equation
   345,536 : 533,064 = 533,064 : x
2. Step 2: Convert to fraction form
   345,536/533,064 = 533,064/x
3. Step 3: Cross multiply
   345,536x = 533,064 × 533,064
4. Step 4: Simplify right side
   345,536x = 284,157,228,096
5. Step 5: Solve for x
   x = 284,157,228,096/345,536
6. Step 6: Final answer
   x = 822,366.49