Finding the Third Proportional to 105,184 and 215,276

Step by Step Solution

1. Step 1: Write the proportion equation
   105,184 : 215,276 = 215,276 : x
2. Step 2: Convert to fraction form
   105,184/215,276 = 215,276/x
3. Step 3: Cross multiply
   105,184x = 215,276 × 215,276
4. Step 4: Simplify right side
   105,184x = 46,343,756,176
5. Step 5: Solve for x
   x = 46,343,756,176/105,184
6. Step 6: Final answer
   x = 440,597.01