Finding the Third Proportional to 138,184 and 213,384

Step by Step Solution

1. Step 1: Write the proportion equation
   138,184 : 213,384 = 213,384 : x
2. Step 2: Convert to fraction form
   138,184/213,384 = 213,384/x
3. Step 3: Cross multiply
   138,184x = 213,384 × 213,384
4. Step 4: Simplify right side
   138,184x = 45,532,731,456
5. Step 5: Solve for x
   x = 45,532,731,456/138,184
6. Step 6: Final answer
   x = 329,507.99