Finding the Third Proportional to 145,146 and 224,280

Step by Step Solution

1. Step 1: Write the proportion equation
   145,146 : 224,280 = 224,280 : x
2. Step 2: Convert to fraction form
   145,146/224,280 = 224,280/x
3. Step 3: Cross multiply
   145,146x = 224,280 × 224,280
4. Step 4: Simplify right side
   145,146x = 50,301,518,400
5. Step 5: Solve for x
   x = 50,301,518,400/145,146
6. Step 6: Final answer
   x = 346,558.08