Finding the Third Proportional to 109,031.25 and 231,272.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109,031.25 : 231,272.25 = 231,272.25 : x
2. Step 2: Convert to fraction form
   109,031.25/231,272.25 = 231,272.25/x
3. Step 3: Cross multiply
   109,031.25x = 231,272.25 × 231,272.25
4. Step 4: Simplify right side
   109,031.25x = 53,486,853,620.06
5. Step 5: Solve for x
   x = 53,486,853,620.06/109,031.25
6. Step 6: Final answer
   x = 490,564.44