Finding the Third Proportional to 224,478 and 493,236

Step by Step Solution

1. Step 1: Write the proportion equation
   224,478 : 493,236 = 493,236 : x
2. Step 2: Convert to fraction form
   224,478/493,236 = 493,236/x
3. Step 3: Cross multiply
   224,478x = 493,236 × 493,236
4. Step 4: Simplify right side
   224,478x = 243,281,751,696
5. Step 5: Solve for x
   x = 243,281,751,696/224,478
6. Step 6: Final answer
   x = 1,083,766.57