Finding the Third Proportional to 222,493.50 and 493,033.50

Step by Step Solution

1. Step 1: Write the proportion equation
   222,493.50 : 493,033.50 = 493,033.50 : x
2. Step 2: Convert to fraction form
   222,493.50/493,033.50 = 493,033.50/x
3. Step 3: Cross multiply
   222,493.50x = 493,033.50 × 493,033.50
4. Step 4: Simplify right side
   222,493.50x = 243,082,032,122.25
5. Step 5: Solve for x
   x = 243,082,032,122.25/222,493.50
6. Step 6: Final answer
   x = 1,092,535.43