Finding the Third Proportional to 301,471.50 and 409,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   301,471.50 : 409,411.50 = 409,411.50 : x
2. Step 2: Convert to fraction form
   301,471.50/409,411.50 = 409,411.50/x
3. Step 3: Cross multiply
   301,471.50x = 409,411.50 × 409,411.50
4. Step 4: Simplify right side
   301,471.50x = 167,617,776,332.25
5. Step 5: Solve for x
   x = 167,617,776,332.25/301,471.50
6. Step 6: Final answer
   x = 555,998.75