Finding the Third Proportional to 138,415.50 and 213,465.38

Step by Step Solution

1. Step 1: Write the proportion equation
   138,415.50 : 213,465.38 = 213,465.38 : x
2. Step 2: Convert to fraction form
   138,415.50/213,465.38 = 213,465.38/x
3. Step 3: Cross multiply
   138,415.50x = 213,465.38 × 213,465.38
4. Step 4: Simplify right side
   138,415.50x = 45,567,466,323.89
5. Step 5: Solve for x
   x = 45,567,466,323.89/138,415.50
6. Step 6: Final answer
   x = 329,207.83