Finding the Third Proportional to 140,580 and 224,838

Step by Step Solution

1. Step 1: Write the proportion equation
   140,580 : 224,838 = 224,838 : x
2. Step 2: Convert to fraction form
   140,580/224,838 = 224,838/x
3. Step 3: Cross multiply
   140,580x = 224,838 × 224,838
4. Step 4: Simplify right side
   140,580x = 50,552,126,244
5. Step 5: Solve for x
   x = 50,552,126,244/140,580
6. Step 6: Final answer
   x = 359,596.86