Finding the Third Proportional to 138,348 and 213,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   138,348 : 213,664.50 = 213,664.50 : x
2. Step 2: Convert to fraction form
   138,348/213,664.50 = 213,664.50/x
3. Step 3: Cross multiply
   138,348x = 213,664.50 × 213,664.50
4. Step 4: Simplify right side
   138,348x = 45,652,518,560.25
5. Step 5: Solve for x
   x = 45,652,518,560.25/138,348
6. Step 6: Final answer
   x = 329,983.22