Finding the Third Proportional to 384,092.50 and 553,299

Step by Step Solution

1. Step 1: Write the proportion equation
   384,092.50 : 553,299 = 553,299 : x
2. Step 2: Convert to fraction form
   384,092.50/553,299 = 553,299/x
3. Step 3: Cross multiply
   384,092.50x = 553,299 × 553,299
4. Step 4: Simplify right side
   384,092.50x = 306,139,783,401
5. Step 5: Solve for x
   x = 306,139,783,401/384,092.50
6. Step 6: Final answer
   x = 797,047.02