Finding the Third Proportional to 101,568 and 215,424

Step by Step Solution

1. Step 1: Write the proportion equation
   101,568 : 215,424 = 215,424 : x
2. Step 2: Convert to fraction form
   101,568/215,424 = 215,424/x
3. Step 3: Cross multiply
   101,568x = 215,424 × 215,424
4. Step 4: Simplify right side
   101,568x = 46,407,499,776
5. Step 5: Solve for x
   x = 46,407,499,776/101,568
6. Step 6: Final answer
   x = 456,910.64