Finding the Third Proportional to 254,116 and 338,775.50

Step by Step Solution

1. Step 1: Write the proportion equation
   254,116 : 338,775.50 = 338,775.50 : x
2. Step 2: Convert to fraction form
   254,116/338,775.50 = 338,775.50/x
3. Step 3: Cross multiply
   254,116x = 338,775.50 × 338,775.50
4. Step 4: Simplify right side
   254,116x = 114,768,839,400.25
5. Step 5: Solve for x
   x = 114,768,839,400.25/254,116
6. Step 6: Final answer
   x = 451,639.56