Finding the Third Proportional to 102,406.50 and 222,787.25

Step by Step Solution

1. Step 1: Write the proportion equation
   102,406.50 : 222,787.25 = 222,787.25 : x
2. Step 2: Convert to fraction form
   102,406.50/222,787.25 = 222,787.25/x
3. Step 3: Cross multiply
   102,406.50x = 222,787.25 × 222,787.25
4. Step 4: Simplify right side
   102,406.50x = 49,634,158,762.56
5. Step 5: Solve for x
   x = 49,634,158,762.56/102,406.50
6. Step 6: Final answer
   x = 484,677.82