Finding the Third Proportional to 138,297 and 213,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,297 : 213,586.50 = 213,586.50 : x
2. Step 2: Convert to fraction form
   138,297/213,586.50 = 213,586.50/x
3. Step 3: Cross multiply
   138,297x = 213,586.50 × 213,586.50
4. Step 4: Simplify right side
   138,297x = 45,619,192,982.25
5. Step 5: Solve for x
   x = 45,619,192,982.25/138,297
6. Step 6: Final answer
   x = 329,863.94