Finding the Third Proportional to 102,022.50 and 222,113.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,022.50 : 222,113.50 = 222,113.50 : x
2. Step 2: Convert to fraction form
   102,022.50/222,113.50 = 222,113.50/x
3. Step 3: Cross multiply
   102,022.50x = 222,113.50 × 222,113.50
4. Step 4: Simplify right side
   102,022.50x = 49,334,406,882.25
5. Step 5: Solve for x
   x = 49,334,406,882.25/102,022.50
6. Step 6: Final answer
   x = 483,563.99