Finding the Third Proportional to 101,854.50 and 224,013

Step by Step Solution

1. Step 1: Write the proportion equation
   101,854.50 : 224,013 = 224,013 : x
2. Step 2: Convert to fraction form
   101,854.50/224,013 = 224,013/x
3. Step 3: Cross multiply
   101,854.50x = 224,013 × 224,013
4. Step 4: Simplify right side
   101,854.50x = 50,181,824,169
5. Step 5: Solve for x
   x = 50,181,824,169/101,854.50
6. Step 6: Final answer
   x = 492,681.46