Finding the Third Proportional to 300,091.50 and 462,616.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,091.50 : 462,616.50 = 462,616.50 : x
2. Step 2: Convert to fraction form
   300,091.50/462,616.50 = 462,616.50/x
3. Step 3: Cross multiply
   300,091.50x = 462,616.50 × 462,616.50
4. Step 4: Simplify right side
   300,091.50x = 214,014,026,072.25
5. Step 5: Solve for x
   x = 214,014,026,072.25/300,091.50
6. Step 6: Final answer
   x = 713,162.57