Finding the Third Proportional to 138,413 and 213,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,413 : 213,753.50 = 213,753.50 : x
2. Step 2: Convert to fraction form
   138,413/213,753.50 = 213,753.50/x
3. Step 3: Cross multiply
   138,413x = 213,753.50 × 213,753.50
4. Step 4: Simplify right side
   138,413x = 45,690,558,762.25
5. Step 5: Solve for x
   x = 45,690,558,762.25/138,413
6. Step 6: Final answer
   x = 330,103.09