Finding the Third Proportional to 300,078 and 464,494.50

Step by Step Solution

1. Step 1: Write the proportion equation
   300,078 : 464,494.50 = 464,494.50 : x
2. Step 2: Convert to fraction form
   300,078/464,494.50 = 464,494.50/x
3. Step 3: Cross multiply
   300,078x = 464,494.50 × 464,494.50
4. Step 4: Simplify right side
   300,078x = 215,755,140,530.25
5. Step 5: Solve for x
   x = 215,755,140,530.25/300,078
6. Step 6: Final answer
   x = 718,996.86