Finding the Third Proportional to 101,854 and 224,012

Step by Step Solution

1. Step 1: Write the proportion equation
   101,854 : 224,012 = 224,012 : x
2. Step 2: Convert to fraction form
   101,854/224,012 = 224,012/x
3. Step 3: Cross multiply
   101,854x = 224,012 × 224,012
4. Step 4: Simplify right side
   101,854x = 50,181,376,144
5. Step 5: Solve for x
   x = 50,181,376,144/101,854
6. Step 6: Final answer
   x = 492,679.48