Finding the Third Proportional to 102,378 and 221,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,378 : 221,404.50 = 221,404.50 : x
2. Step 2: Convert to fraction form
   102,378/221,404.50 = 221,404.50/x
3. Step 3: Cross multiply
   102,378x = 221,404.50 × 221,404.50
4. Step 4: Simplify right side
   102,378x = 49,019,952,620.25
5. Step 5: Solve for x
   x = 49,019,952,620.25/102,378
6. Step 6: Final answer
   x = 478,813.34