Finding the Third Proportional to 99,031.50 and 213,844.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,031.50 : 213,844.50 = 213,844.50 : x
2. Step 2: Convert to fraction form
   99,031.50/213,844.50 = 213,844.50/x
3. Step 3: Cross multiply
   99,031.50x = 213,844.50 × 213,844.50
4. Step 4: Simplify right side
   99,031.50x = 45,729,470,180.25
5. Step 5: Solve for x
   x = 45,729,470,180.25/99,031.50
6. Step 6: Final answer
   x = 461,766.91