Finding the Third Proportional to 345,503.25 and 533,016

Step by Step Solution

1. Step 1: Write the proportion equation
   345,503.25 : 533,016 = 533,016 : x
2. Step 2: Convert to fraction form
   345,503.25/533,016 = 533,016/x
3. Step 3: Cross multiply
   345,503.25x = 533,016 × 533,016
4. Step 4: Simplify right side
   345,503.25x = 284,106,056,256
5. Step 5: Solve for x
   x = 284,106,056,256/345,503.25
6. Step 6: Final answer
   x = 822,296.34