Finding the Third Proportional to 102,225 and 223,516.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,225 : 223,516.50 = 223,516.50 : x
2. Step 2: Convert to fraction form
   102,225/223,516.50 = 223,516.50/x
3. Step 3: Cross multiply
   102,225x = 223,516.50 × 223,516.50
4. Step 4: Simplify right side
   102,225x = 49,959,625,772.25
5. Step 5: Solve for x
   x = 49,959,625,772.25/102,225
6. Step 6: Final answer
   x = 488,722.19