Finding the Third Proportional to 145,772 and 224,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   145,772 : 224,884.50 = 224,884.50 : x
2. Step 2: Convert to fraction form
   145,772/224,884.50 = 224,884.50/x
3. Step 3: Cross multiply
   145,772x = 224,884.50 × 224,884.50
4. Step 4: Simplify right side
   145,772x = 50,573,038,340.25
5. Step 5: Solve for x
   x = 50,573,038,340.25/145,772
6. Step 6: Final answer
   x = 346,932.46