Finding the Third Proportional to 102,222 and 223,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,222 : 223,510.50 = 223,510.50 : x
2. Step 2: Convert to fraction form
   102,222/223,510.50 = 223,510.50/x
3. Step 3: Cross multiply
   102,222x = 223,510.50 × 223,510.50
4. Step 4: Simplify right side
   102,222x = 49,956,943,610.25
5. Step 5: Solve for x
   x = 49,956,943,610.25/102,222
6. Step 6: Final answer
   x = 488,710.29