Finding the Third Proportional to 100,259 and 222,933.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,259 : 222,933.50 = 222,933.50 : x
2. Step 2: Convert to fraction form
   100,259/222,933.50 = 222,933.50/x
3. Step 3: Cross multiply
   100,259x = 222,933.50 × 222,933.50
4. Step 4: Simplify right side
   100,259x = 49,699,345,422.25
5. Step 5: Solve for x
   x = 49,699,345,422.25/100,259
6. Step 6: Final answer
   x = 495,709.57