Finding the Third Proportional to 140,575.50 and 224,833.50

Step by Step Solution

1. Step 1: Write the proportion equation
   140,575.50 : 224,833.50 = 224,833.50 : x
2. Step 2: Convert to fraction form
   140,575.50/224,833.50 = 224,833.50/x
3. Step 3: Cross multiply
   140,575.50x = 224,833.50 × 224,833.50
4. Step 4: Simplify right side
   140,575.50x = 50,550,102,722.25
5. Step 5: Solve for x
   x = 50,550,102,722.25/140,575.50
6. Step 6: Final answer
   x = 359,593.97