Finding the Third Proportional to 128,826 and 274,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   128,826 : 274,774.50 = 274,774.50 : x
2. Step 2: Convert to fraction form
   128,826/274,774.50 = 274,774.50/x
3. Step 3: Cross multiply
   128,826x = 274,774.50 × 274,774.50
4. Step 4: Simplify right side
   128,826x = 75,501,025,850.25
5. Step 5: Solve for x
   x = 75,501,025,850.25/128,826
6. Step 6: Final answer
   x = 586,069.78