Finding the Third Proportional to 102,364 and 215,932

Step by Step Solution

1. Step 1: Write the proportion equation
   102,364 : 215,932 = 215,932 : x
2. Step 2: Convert to fraction form
   102,364/215,932 = 215,932/x
3. Step 3: Cross multiply
   102,364x = 215,932 × 215,932
4. Step 4: Simplify right side
   102,364x = 46,626,628,624
5. Step 5: Solve for x
   x = 46,626,628,624/102,364
6. Step 6: Final answer
   x = 455,498.31