Finding the Third Proportional to 101,952 and 223,600.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,952 : 223,600.50 = 223,600.50 : x
2. Step 2: Convert to fraction form
   101,952/223,600.50 = 223,600.50/x
3. Step 3: Cross multiply
   101,952x = 223,600.50 × 223,600.50
4. Step 4: Simplify right side
   101,952x = 49,997,183,600.25
5. Step 5: Solve for x
   x = 49,997,183,600.25/101,952
6. Step 6: Final answer
   x = 490,399.24