Finding the Third Proportional to 138,146.50 and 213,963

Step by Step Solution

1. Step 1: Write the proportion equation
   138,146.50 : 213,963 = 213,963 : x
2. Step 2: Convert to fraction form
   138,146.50/213,963 = 213,963/x
3. Step 3: Cross multiply
   138,146.50x = 213,963 × 213,963
4. Step 4: Simplify right side
   138,146.50x = 45,780,165,369
5. Step 5: Solve for x
   x = 45,780,165,369/138,146.50
6. Step 6: Final answer
   x = 331,388.53