Finding the Third Proportional to 145,521 and 224,275.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,521 : 224,275.50 = 224,275.50 : x
2. Step 2: Convert to fraction form
   145,521/224,275.50 = 224,275.50/x
3. Step 3: Cross multiply
   145,521x = 224,275.50 × 224,275.50
4. Step 4: Simplify right side
   145,521x = 50,299,499,900.25
5. Step 5: Solve for x
   x = 50,299,499,900.25/145,521
6. Step 6: Final answer
   x = 345,651.14