Finding the Third Proportional to 103,666.50 and 222,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,666.50 : 222,493.50 = 222,493.50 : x
2. Step 2: Convert to fraction form
   103,666.50/222,493.50 = 222,493.50/x
3. Step 3: Cross multiply
   103,666.50x = 222,493.50 × 222,493.50
4. Step 4: Simplify right side
   103,666.50x = 49,503,357,542.25
5. Step 5: Solve for x
   x = 49,503,357,542.25/103,666.50
6. Step 6: Final answer
   x = 477,525.12