Finding the Third Proportional to 308,019 and 460,774.50

Step by Step Solution

1. Step 1: Write the proportion equation
   308,019 : 460,774.50 = 460,774.50 : x
2. Step 2: Convert to fraction form
   308,019/460,774.50 = 460,774.50/x
3. Step 3: Cross multiply
   308,019x = 460,774.50 × 460,774.50
4. Step 4: Simplify right side
   308,019x = 212,313,139,850.25
5. Step 5: Solve for x
   x = 212,313,139,850.25/308,019
6. Step 6: Final answer
   x = 689,285.86