Finding the Third Proportional to 300,210 and 456,501

Step by Step Solution

1. Step 1: Write the proportion equation
   300,210 : 456,501 = 456,501 : x
2. Step 2: Convert to fraction form
   300,210/456,501 = 456,501/x
3. Step 3: Cross multiply
   300,210x = 456,501 × 456,501
4. Step 4: Simplify right side
   300,210x = 208,393,163,001
5. Step 5: Solve for x
   x = 208,393,163,001/300,210
6. Step 6: Final answer
   x = 694,157.97