Finding the Third Proportional to 102,123 and 224,403.75

Step by Step Solution

1. Step 1: Write the proportion equation
   102,123 : 224,403.75 = 224,403.75 : x
2. Step 2: Convert to fraction form
   102,123/224,403.75 = 224,403.75/x
3. Step 3: Cross multiply
   102,123x = 224,403.75 × 224,403.75
4. Step 4: Simplify right side
   102,123x = 50,357,043,014.06
5. Step 5: Solve for x
   x = 50,357,043,014.06/102,123
6. Step 6: Final answer
   x = 493,101.88