Finding the Third Proportional to 349,105.50 and 533,803.25

Step by Step Solution

1. Step 1: Write the proportion equation
   349,105.50 : 533,803.25 = 533,803.25 : x
2. Step 2: Convert to fraction form
   349,105.50/533,803.25 = 533,803.25/x
3. Step 3: Cross multiply
   349,105.50x = 533,803.25 × 533,803.25
4. Step 4: Simplify right side
   349,105.50x = 284,945,909,710.56
5. Step 5: Solve for x
   x = 284,945,909,710.56/349,105.50
6. Step 6: Final answer
   x = 816,217.19