Finding the Third Proportional to 101,979 and 223,222.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,979 : 223,222.50 = 223,222.50 : x
2. Step 2: Convert to fraction form
   101,979/223,222.50 = 223,222.50/x
3. Step 3: Cross multiply
   101,979x = 223,222.50 × 223,222.50
4. Step 4: Simplify right side
   101,979x = 49,828,284,506.25
5. Step 5: Solve for x
   x = 49,828,284,506.25/101,979
6. Step 6: Final answer
   x = 488,613.19