Finding the Third Proportional to 226,803 and 333,643.50

Step by Step Solution

1. Step 1: Write the proportion equation
   226,803 : 333,643.50 = 333,643.50 : x
2. Step 2: Convert to fraction form
   226,803/333,643.50 = 333,643.50/x
3. Step 3: Cross multiply
   226,803x = 333,643.50 × 333,643.50
4. Step 4: Simplify right side
   226,803x = 111,317,985,092.25
5. Step 5: Solve for x
   x = 111,317,985,092.25/226,803
6. Step 6: Final answer
   x = 490,813.55