Finding the Third Proportional to 384,092.50 and 553,298

Step by Step Solution

1. Step 1: Write the proportion equation
   384,092.50 : 553,298 = 553,298 : x
2. Step 2: Convert to fraction form
   384,092.50/553,298 = 553,298/x
3. Step 3: Cross multiply
   384,092.50x = 553,298 × 553,298
4. Step 4: Simplify right side
   384,092.50x = 306,138,676,804
5. Step 5: Solve for x
   x = 306,138,676,804/384,092.50
6. Step 6: Final answer
   x = 797,044.14