Finding the Third Proportional to 314,020 and 485,142

Step by Step Solution

1. Step 1: Write the proportion equation
   314,020 : 485,142 = 485,142 : x
2. Step 2: Convert to fraction form
   314,020/485,142 = 485,142/x
3. Step 3: Cross multiply
   314,020x = 485,142 × 485,142
4. Step 4: Simplify right side
   314,020x = 235,362,760,164
5. Step 5: Solve for x
   x = 235,362,760,164/314,020
6. Step 6: Final answer
   x = 749,515.19