Finding the Third Proportional to 300,262.50 and 467,615.25

Step by Step Solution

1. Step 1: Write the proportion equation
   300,262.50 : 467,615.25 = 467,615.25 : x
2. Step 2: Convert to fraction form
   300,262.50/467,615.25 = 467,615.25/x
3. Step 3: Cross multiply
   300,262.50x = 467,615.25 × 467,615.25
4. Step 4: Simplify right side
   300,262.50x = 218,664,022,032.56
5. Step 5: Solve for x
   x = 218,664,022,032.56/300,262.50
6. Step 6: Final answer
   x = 728,242.86