Finding the Third Proportional to 310,853 and 456,078

Step by Step Solution

1. Step 1: Write the proportion equation
   310,853 : 456,078 = 456,078 : x
2. Step 2: Convert to fraction form
   310,853/456,078 = 456,078/x
3. Step 3: Cross multiply
   310,853x = 456,078 × 456,078
4. Step 4: Simplify right side
   310,853x = 208,007,142,084
5. Step 5: Solve for x
   x = 208,007,142,084/310,853
6. Step 6: Final answer
   x = 669,149.54