Finding the Third Proportional to 300,197 and 456,488

Step by Step Solution

1. Step 1: Write the proportion equation
   300,197 : 456,488 = 456,488 : x
2. Step 2: Convert to fraction form
   300,197/456,488 = 456,488/x
3. Step 3: Cross multiply
   300,197x = 456,488 × 456,488
4. Step 4: Simplify right side
   300,197x = 208,381,294,144
5. Step 5: Solve for x
   x = 208,381,294,144/300,197
6. Step 6: Final answer
   x = 694,148.49