Finding the Third Proportional to 109,658.50 and 227,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,658.50 : 227,933.50 = 227,933.50 : x
2. Step 2: Convert to fraction form
   109,658.50/227,933.50 = 227,933.50/x
3. Step 3: Cross multiply
   109,658.50x = 227,933.50 × 227,933.50
4. Step 4: Simplify right side
   109,658.50x = 51,953,680,422.25
5. Step 5: Solve for x
   x = 51,953,680,422.25/109,658.50
6. Step 6: Final answer
   x = 473,777.05