Finding the Third Proportional to 300,109.50 and 462,642.75

Step by Step Solution

1. Step 1: Write the proportion equation
   300,109.50 : 462,642.75 = 462,642.75 : x
2. Step 2: Convert to fraction form
   300,109.50/462,642.75 = 462,642.75/x
3. Step 3: Cross multiply
   300,109.50x = 462,642.75 × 462,642.75
4. Step 4: Simplify right side
   300,109.50x = 214,038,314,127.56
5. Step 5: Solve for x
   x = 214,038,314,127.56/300,109.50
6. Step 6: Final answer
   x = 713,200.73