Finding the Third Proportional to 109,364 and 168,662

Step by Step Solution

1. Step 1: Write the proportion equation
   109,364 : 168,662 = 168,662 : x
2. Step 2: Convert to fraction form
   109,364/168,662 = 168,662/x
3. Step 3: Cross multiply
   109,364x = 168,662 × 168,662
4. Step 4: Simplify right side
   109,364x = 28,446,870,244
5. Step 5: Solve for x
   x = 28,446,870,244/109,364
6. Step 6: Final answer
   x = 260,111.83