Finding the Third Proportional to 224,358 and 333,014.25

Step by Step Solution

1. Step 1: Write the proportion equation
   224,358 : 333,014.25 = 333,014.25 : x
2. Step 2: Convert to fraction form
   224,358/333,014.25 = 333,014.25/x
3. Step 3: Cross multiply
   224,358x = 333,014.25 × 333,014.25
4. Step 4: Simplify right side
   224,358x = 110,898,490,703.06
5. Step 5: Solve for x
   x = 110,898,490,703.06/224,358
6. Step 6: Final answer
   x = 494,292.56