Finding the Third Proportional to 102,166.50 and 222,724.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,166.50 : 222,724.50 = 222,724.50 : x
2. Step 2: Convert to fraction form
   102,166.50/222,724.50 = 222,724.50/x
3. Step 3: Cross multiply
   102,166.50x = 222,724.50 × 222,724.50
4. Step 4: Simplify right side
   102,166.50x = 49,606,202,900.25
5. Step 5: Solve for x
   x = 49,606,202,900.25/102,166.50
6. Step 6: Final answer
   x = 485,542.75