Finding the Third Proportional to 101,841.50 and 223,743.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,841.50 : 223,743.50 = 223,743.50 : x
2. Step 2: Convert to fraction form
   101,841.50/223,743.50 = 223,743.50/x
3. Step 3: Cross multiply
   101,841.50x = 223,743.50 × 223,743.50
4. Step 4: Simplify right side
   101,841.50x = 50,061,153,792.25
5. Step 5: Solve for x
   x = 50,061,153,792.25/101,841.50
6. Step 6: Final answer
   x = 491,559.47