Finding the Third Proportional to 102,254 and 222,500

Step by Step Solution

1. Step 1: Write the proportion equation
   102,254 : 222,500 = 222,500 : x
2. Step 2: Convert to fraction form
   102,254/222,500 = 222,500/x
3. Step 3: Cross multiply
   102,254x = 222,500 × 222,500
4. Step 4: Simplify right side
   102,254x = 49,506,250,000
5. Step 5: Solve for x
   x = 49,506,250,000/102,254
6. Step 6: Final answer
   x = 484,149.76