Finding the Third Proportional to 300,388.50 and 464,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,388.50 : 464,962.50 = 464,962.50 : x
2. Step 2: Convert to fraction form
   300,388.50/464,962.50 = 464,962.50/x
3. Step 3: Cross multiply
   300,388.50x = 464,962.50 × 464,962.50
4. Step 4: Simplify right side
   300,388.50x = 216,190,126,406.25
5. Step 5: Solve for x
   x = 216,190,126,406.25/300,388.50
6. Step 6: Final answer
   x = 719,701.74