Finding the Third Proportional to 102,019.50 and 224,415.56

Step by Step Solution

1. Step 1: Write the proportion equation
   102,019.50 : 224,415.56 = 224,415.56 : x
2. Step 2: Convert to fraction form
   102,019.50/224,415.56 = 224,415.56/x
3. Step 3: Cross multiply
   102,019.50x = 224,415.56 × 224,415.56
4. Step 4: Simplify right side
   102,019.50x = 50,362,344,692.19
5. Step 5: Solve for x
   x = 50,362,344,692.19/102,019.50
6. Step 6: Final answer
   x = 493,654.10