Finding the Third Proportional to 102,685.50 and 222,822

Step by Step Solution

1. Step 1: Write the proportion equation
   102,685.50 : 222,822 = 222,822 : x
2. Step 2: Convert to fraction form
   102,685.50/222,822 = 222,822/x
3. Step 3: Cross multiply
   102,685.50x = 222,822 × 222,822
4. Step 4: Simplify right side
   102,685.50x = 49,649,643,684
5. Step 5: Solve for x
   x = 49,649,643,684/102,685.50
6. Step 6: Final answer
   x = 483,511.73