Finding the Third Proportional to 101,191.50 and 222,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,191.50 : 222,756.50 = 222,756.50 : x
2. Step 2: Convert to fraction form
   101,191.50/222,756.50 = 222,756.50/x
3. Step 3: Cross multiply
   101,191.50x = 222,756.50 × 222,756.50
4. Step 4: Simplify right side
   101,191.50x = 49,620,458,292.25
5. Step 5: Solve for x
   x = 49,620,458,292.25/101,191.50
6. Step 6: Final answer
   x = 490,361.92