Finding the Third Proportional to 300,209 and 456,500

Step by Step Solution

1. Step 1: Write the proportion equation
   300,209 : 456,500 = 456,500 : x
2. Step 2: Convert to fraction form
   300,209/456,500 = 456,500/x
3. Step 3: Cross multiply
   300,209x = 456,500 × 456,500
4. Step 4: Simplify right side
   300,209x = 208,392,250,000
5. Step 5: Solve for x
   x = 208,392,250,000/300,209
6. Step 6: Final answer
   x = 694,157.24