Finding the Third Proportional to 109,219.50 and 231,655.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,219.50 : 231,655.50 = 231,655.50 : x
2. Step 2: Convert to fraction form
   109,219.50/231,655.50 = 231,655.50/x
3. Step 3: Cross multiply
   109,219.50x = 231,655.50 × 231,655.50
4. Step 4: Simplify right side
   109,219.50x = 53,664,270,680.25
5. Step 5: Solve for x
   x = 53,664,270,680.25/109,219.50
6. Step 6: Final answer
   x = 491,343.31