Finding the Third Proportional to 254,286 and 384,008.25

Step by Step Solution

1. Step 1: Write the proportion equation
   254,286 : 384,008.25 = 384,008.25 : x
2. Step 2: Convert to fraction form
   254,286/384,008.25 = 384,008.25/x
3. Step 3: Cross multiply
   254,286x = 384,008.25 × 384,008.25
4. Step 4: Simplify right side
   254,286x = 147,462,336,068.06
5. Step 5: Solve for x
   x = 147,462,336,068.06/254,286
6. Step 6: Final answer
   x = 579,907.41