Finding the Third Proportional to 160,419 and 224,280.50

Step by Step Solution

1. Step 1: Write the proportion equation
   160,419 : 224,280.50 = 224,280.50 : x
2. Step 2: Convert to fraction form
   160,419/224,280.50 = 224,280.50/x
3. Step 3: Cross multiply
   160,419x = 224,280.50 × 224,280.50
4. Step 4: Simplify right side
   160,419x = 50,301,742,680.25
5. Step 5: Solve for x
   x = 50,301,742,680.25/160,419
6. Step 6: Final answer
   x = 313,564.74