Finding the Third Proportional to 102,308 and 224,919.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,308 : 224,919.50 = 224,919.50 : x
2. Step 2: Convert to fraction form
   102,308/224,919.50 = 224,919.50/x
3. Step 3: Cross multiply
   102,308x = 224,919.50 × 224,919.50
4. Step 4: Simplify right side
   102,308x = 50,588,781,480.25
5. Step 5: Solve for x
   x = 50,588,781,480.25/102,308
6. Step 6: Final answer
   x = 494,475.32