Finding the Third Proportional to 300,152 and 464,616

Step by Step Solution

1. Step 1: Write the proportion equation
   300,152 : 464,616 = 464,616 : x
2. Step 2: Convert to fraction form
   300,152/464,616 = 464,616/x
3. Step 3: Cross multiply
   300,152x = 464,616 × 464,616
4. Step 4: Simplify right side
   300,152x = 215,868,027,456
5. Step 5: Solve for x
   x = 215,868,027,456/300,152
6. Step 6: Final answer
   x = 719,195.70