Finding the Third Proportional to 81,229.50 and 189,031.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,229.50 : 189,031.50 = 189,031.50 : x
2. Step 2: Convert to fraction form
   81,229.50/189,031.50 = 189,031.50/x
3. Step 3: Cross multiply
   81,229.50x = 189,031.50 × 189,031.50
4. Step 4: Simplify right side
   81,229.50x = 35,732,907,992.25
5. Step 5: Solve for x
   x = 35,732,907,992.25/81,229.50
6. Step 6: Final answer
   x = 439,900.63