Finding the Third Proportional to 301,078 and 410,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,078 : 410,086.50 = 410,086.50 : x
2. Step 2: Convert to fraction form
   301,078/410,086.50 = 410,086.50/x
3. Step 3: Cross multiply
   301,078x = 410,086.50 × 410,086.50
4. Step 4: Simplify right side
   301,078x = 168,170,937,482.25
5. Step 5: Solve for x
   x = 168,170,937,482.25/301,078
6. Step 6: Final answer
   x = 558,562.69