Finding the Third Proportional to 300,373 and 419,941.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,373 : 419,941.50 = 419,941.50 : x
2. Step 2: Convert to fraction form
   300,373/419,941.50 = 419,941.50/x
3. Step 3: Cross multiply
   300,373x = 419,941.50 × 419,941.50
4. Step 4: Simplify right side
   300,373x = 176,350,863,422.25
5. Step 5: Solve for x
   x = 176,350,863,422.25/300,373
6. Step 6: Final answer
   x = 587,106.24