Finding the Third Proportional to 304,304 and 456,513

Step by Step Solution

1. Step 1: Write the proportion equation
   304,304 : 456,513 = 456,513 : x
2. Step 2: Convert to fraction form
   304,304/456,513 = 456,513/x
3. Step 3: Cross multiply
   304,304x = 456,513 × 456,513
4. Step 4: Simplify right side
   304,304x = 208,404,119,169
5. Step 5: Solve for x
   x = 208,404,119,169/304,304
6. Step 6: Final answer
   x = 684,855.01