Finding the Third Proportional to 364,204 and 551,384

Step by Step Solution

1. Step 1: Write the proportion equation
   364,204 : 551,384 = 551,384 : x
2. Step 2: Convert to fraction form
   364,204/551,384 = 551,384/x
3. Step 3: Cross multiply
   364,204x = 551,384 × 551,384
4. Step 4: Simplify right side
   364,204x = 304,024,315,456
5. Step 5: Solve for x
   x = 304,024,315,456/364,204
6. Step 6: Final answer
   x = 834,763.80