Finding the Third Proportional to 254,826 and 306,033.75

Step by Step Solution

1. Step 1: Write the proportion equation
   254,826 : 306,033.75 = 306,033.75 : x
2. Step 2: Convert to fraction form
   254,826/306,033.75 = 306,033.75/x
3. Step 3: Cross multiply
   254,826x = 306,033.75 × 306,033.75
4. Step 4: Simplify right side
   254,826x = 93,656,656,139.06
5. Step 5: Solve for x
   x = 93,656,656,139.06/254,826
6. Step 6: Final answer
   x = 367,531.79