Finding the Third Proportional to 215,364 and 316,826

Step by Step Solution

1. Step 1: Write the proportion equation
   215,364 : 316,826 = 316,826 : x
2. Step 2: Convert to fraction form
   215,364/316,826 = 316,826/x
3. Step 3: Cross multiply
   215,364x = 316,826 × 316,826
4. Step 4: Simplify right side
   215,364x = 100,378,714,276
5. Step 5: Solve for x
   x = 100,378,714,276/215,364
6. Step 6: Final answer
   x = 466,088.64