Finding the Third Proportional to 102,111 and 224,380.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,111 : 224,380.50 = 224,380.50 : x
2. Step 2: Convert to fraction form
   102,111/224,380.50 = 224,380.50/x
3. Step 3: Cross multiply
   102,111x = 224,380.50 × 224,380.50
4. Step 4: Simplify right side
   102,111x = 50,346,608,780.25
5. Step 5: Solve for x
   x = 50,346,608,780.25/102,111
6. Step 6: Final answer
   x = 493,057.64