Finding the Third Proportional to 101,853 and 224,010

Step by Step Solution

1. Step 1: Write the proportion equation
   101,853 : 224,010 = 224,010 : x
2. Step 2: Convert to fraction form
   101,853/224,010 = 224,010/x
3. Step 3: Cross multiply
   101,853x = 224,010 × 224,010
4. Step 4: Simplify right side
   101,853x = 50,180,480,100
5. Step 5: Solve for x
   x = 50,180,480,100/101,853
6. Step 6: Final answer
   x = 492,675.52