Finding the Third Proportional to 301,023 and 410,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,023 : 410,008.50 = 410,008.50 : x
2. Step 2: Convert to fraction form
   301,023/410,008.50 = 410,008.50/x
3. Step 3: Cross multiply
   301,023x = 410,008.50 × 410,008.50
4. Step 4: Simplify right side
   301,023x = 168,106,970,072.25
5. Step 5: Solve for x
   x = 168,106,970,072.25/301,023
6. Step 6: Final answer
   x = 558,452.24