Finding the Third Proportional to 349,032.50 and 533,698

Step by Step Solution

1. Step 1: Write the proportion equation
   349,032.50 : 533,698 = 533,698 : x
2. Step 2: Convert to fraction form
   349,032.50/533,698 = 533,698/x
3. Step 3: Cross multiply
   349,032.50x = 533,698 × 533,698
4. Step 4: Simplify right side
   349,032.50x = 284,833,555,204
5. Step 5: Solve for x
   x = 284,833,555,204/349,032.50
6. Step 6: Final answer
   x = 816,066.00