Finding the Third Proportional to 224,200 and 333,106

Step by Step Solution

1. Step 1: Write the proportion equation
   224,200 : 333,106 = 333,106 : x
2. Step 2: Convert to fraction form
   224,200/333,106 = 333,106/x
3. Step 3: Cross multiply
   224,200x = 333,106 × 333,106
4. Step 4: Simplify right side
   224,200x = 110,959,607,236
5. Step 5: Solve for x
   x = 110,959,607,236/224,200
6. Step 6: Final answer
   x = 494,913.50