Finding the Third Proportional to 300,097 and 464,521

Step by Step Solution

1. Step 1: Write the proportion equation
   300,097 : 464,521 = 464,521 : x
2. Step 2: Convert to fraction form
   300,097/464,521 = 464,521/x
3. Step 3: Cross multiply
   300,097x = 464,521 × 464,521
4. Step 4: Simplify right side
   300,097x = 215,779,759,441
5. Step 5: Solve for x
   x = 215,779,759,441/300,097
6. Step 6: Final answer
   x = 719,033.38