Finding the Third Proportional to 254,363 and 404,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   254,363 : 404,894.50 = 404,894.50 : x
2. Step 2: Convert to fraction form
   254,363/404,894.50 = 404,894.50/x
3. Step 3: Cross multiply
   254,363x = 404,894.50 × 404,894.50
4. Step 4: Simplify right side
   254,363x = 163,939,556,130.25
5. Step 5: Solve for x
   x = 163,939,556,130.25/254,363
6. Step 6: Final answer
   x = 644,510.23