Finding the Third Proportional to 103,128 and 215,184

Step by Step Solution

1. Step 1: Write the proportion equation
   103,128 : 215,184 = 215,184 : x
2. Step 2: Convert to fraction form
   103,128/215,184 = 215,184/x
3. Step 3: Cross multiply
   103,128x = 215,184 × 215,184
4. Step 4: Simplify right side
   103,128x = 46,304,153,856
5. Step 5: Solve for x
   x = 46,304,153,856/103,128
6. Step 6: Final answer
   x = 448,996.92