Finding the Third Proportional to 349,123.50 and 533,829

Step by Step Solution

1. Step 1: Write the proportion equation
   349,123.50 : 533,829 = 533,829 : x
2. Step 2: Convert to fraction form
   349,123.50/533,829 = 533,829/x
3. Step 3: Cross multiply
   349,123.50x = 533,829 × 533,829
4. Step 4: Simplify right side
   349,123.50x = 284,973,401,241
5. Step 5: Solve for x
   x = 284,973,401,241/349,123.50
6. Step 6: Final answer
   x = 816,253.85