Finding the Third Proportional to 138,294 and 213,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,294 : 213,584.50 = 213,584.50 : x
2. Step 2: Convert to fraction form
   138,294/213,584.50 = 213,584.50/x
3. Step 3: Cross multiply
   138,294x = 213,584.50 × 213,584.50
4. Step 4: Simplify right side
   138,294x = 45,618,338,640.25
5. Step 5: Solve for x
   x = 45,618,338,640.25/138,294
6. Step 6: Final answer
   x = 329,864.92