Finding the Third Proportional to 310,869 and 456,066

Step by Step Solution

1. Step 1: Write the proportion equation
   310,869 : 456,066 = 456,066 : x
2. Step 2: Convert to fraction form
   310,869/456,066 = 456,066/x
3. Step 3: Cross multiply
   310,869x = 456,066 × 456,066
4. Step 4: Simplify right side
   310,869x = 207,996,196,356
5. Step 5: Solve for x
   x = 207,996,196,356/310,869
6. Step 6: Final answer
   x = 669,079.89