Finding the Third Proportional to 300,100.50 and 462,629.25

Step by Step Solution

1. Step 1: Write the proportion equation
   300,100.50 : 462,629.25 = 462,629.25 : x
2. Step 2: Convert to fraction form
   300,100.50/462,629.25 = 462,629.25/x
3. Step 3: Cross multiply
   300,100.50x = 462,629.25 × 462,629.25
4. Step 4: Simplify right side
   300,100.50x = 214,025,822,955.56
5. Step 5: Solve for x
   x = 214,025,822,955.56/300,100.50
6. Step 6: Final answer
   x = 713,180.49