Finding the Third Proportional to 145,009.50 and 224,090.25

Step by Step Solution

1. Step 1: Write the proportion equation
   145,009.50 : 224,090.25 = 224,090.25 : x
2. Step 2: Convert to fraction form
   145,009.50/224,090.25 = 224,090.25/x
3. Step 3: Cross multiply
   145,009.50x = 224,090.25 × 224,090.25
4. Step 4: Simplify right side
   145,009.50x = 50,216,440,145.06
5. Step 5: Solve for x
   x = 50,216,440,145.06/145,009.50
6. Step 6: Final answer
   x = 346,297.59