Finding the Third Proportional to 138,135 and 213,304.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,135 : 213,304.50 = 213,304.50 : x
2. Step 2: Convert to fraction form
   138,135/213,304.50 = 213,304.50/x
3. Step 3: Cross multiply
   138,135x = 213,304.50 × 213,304.50
4. Step 4: Simplify right side
   138,135x = 45,498,809,720.25
5. Step 5: Solve for x
   x = 45,498,809,720.25/138,135
6. Step 6: Final answer
   x = 329,379.30