Finding the Third Proportional to 140,565.38 and 224,820.56

Step by Step Solution

1. Step 1: Write the proportion equation
   140,565.38 : 224,820.56 = 224,820.56 : x
2. Step 2: Convert to fraction form
   140,565.38/224,820.56 = 224,820.56/x
3. Step 3: Cross multiply
   140,565.38x = 224,820.56 × 224,820.56
4. Step 4: Simplify right side
   140,565.38x = 50,544,285,322.82
5. Step 5: Solve for x
   x = 50,544,285,322.82/140,565.38
6. Step 6: Final answer
   x = 359,578.49