Finding the Third Proportional to 316,144 and 562,114

Step by Step Solution

1. Step 1: Write the proportion equation
   316,144 : 562,114 = 562,114 : x
2. Step 2: Convert to fraction form
   316,144/562,114 = 562,114/x
3. Step 3: Cross multiply
   316,144x = 562,114 × 562,114
4. Step 4: Simplify right side
   316,144x = 315,972,148,996
5. Step 5: Solve for x
   x = 315,972,148,996/316,144
6. Step 6: Final answer
   x = 999,456.42