Finding the Third Proportional to 103,648.50 and 213,840

Step by Step Solution

1. Step 1: Write the proportion equation
   103,648.50 : 213,840 = 213,840 : x
2. Step 2: Convert to fraction form
   103,648.50/213,840 = 213,840/x
3. Step 3: Cross multiply
   103,648.50x = 213,840 × 213,840
4. Step 4: Simplify right side
   103,648.50x = 45,727,545,600
5. Step 5: Solve for x
   x = 45,727,545,600/103,648.50
6. Step 6: Final answer
   x = 441,179.04