Finding the Third Proportional to 310,564 and 456,002

Step by Step Solution

1. Step 1: Write the proportion equation
   310,564 : 456,002 = 456,002 : x
2. Step 2: Convert to fraction form
   310,564/456,002 = 456,002/x
3. Step 3: Cross multiply
   310,564x = 456,002 × 456,002
4. Step 4: Simplify right side
   310,564x = 207,937,824,004
5. Step 5: Solve for x
   x = 207,937,824,004/310,564
6. Step 6: Final answer
   x = 669,549.03