Finding the Third Proportional to 103,506 and 222,867.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,506 : 222,867.50 = 222,867.50 : x
2. Step 2: Convert to fraction form
   103,506/222,867.50 = 222,867.50/x
3. Step 3: Cross multiply
   103,506x = 222,867.50 × 222,867.50
4. Step 4: Simplify right side
   103,506x = 49,669,922,556.25
5. Step 5: Solve for x
   x = 49,669,922,556.25/103,506
6. Step 6: Final answer
   x = 479,874.81