Finding the Third Proportional to 101,195 and 222,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,195 : 222,764.50 = 222,764.50 : x
2. Step 2: Convert to fraction form
   101,195/222,764.50 = 222,764.50/x
3. Step 3: Cross multiply
   101,195x = 222,764.50 × 222,764.50
4. Step 4: Simplify right side
   101,195x = 49,624,022,460.25
5. Step 5: Solve for x
   x = 49,624,022,460.25/101,195
6. Step 6: Final answer
   x = 490,380.18