Finding the Third Proportional to 224,233 and 333,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   224,233 : 333,153.50 = 333,153.50 : x
2. Step 2: Convert to fraction form
   224,233/333,153.50 = 333,153.50/x
3. Step 3: Cross multiply
   224,233x = 333,153.50 × 333,153.50
4. Step 4: Simplify right side
   224,233x = 110,991,254,562.25
5. Step 5: Solve for x
   x = 110,991,254,562.25/224,233
6. Step 6: Final answer
   x = 494,981.80