Finding the Third Proportional to 102,704 and 222,746

Step by Step Solution

1. Step 1: Write the proportion equation
   102,704 : 222,746 = 222,746 : x
2. Step 2: Convert to fraction form
   102,704/222,746 = 222,746/x
3. Step 3: Cross multiply
   102,704x = 222,746 × 222,746
4. Step 4: Simplify right side
   102,704x = 49,615,780,516
5. Step 5: Solve for x
   x = 49,615,780,516/102,704
6. Step 6: Final answer
   x = 483,094.92