Finding the Third Proportional to 301,420.50 and 410,472

Step by Step Solution

1. Step 1: Write the proportion equation
   301,420.50 : 410,472 = 410,472 : x
2. Step 2: Convert to fraction form
   301,420.50/410,472 = 410,472/x
3. Step 3: Cross multiply
   301,420.50x = 410,472 × 410,472
4. Step 4: Simplify right side
   301,420.50x = 168,487,262,784
5. Step 5: Solve for x
   x = 168,487,262,784/301,420.50
6. Step 6: Final answer
   x = 558,977.45