Finding the Third Proportional to 102,124.50 and 223,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   102,124.50 : 223,627.50 = 223,627.50 : x
2. Step 2: Convert to fraction form
   102,124.50/223,627.50 = 223,627.50/x
3. Step 3: Cross multiply
   102,124.50x = 223,627.50 × 223,627.50
4. Step 4: Simplify right side
   102,124.50x = 50,009,258,756.25
5. Step 5: Solve for x
   x = 50,009,258,756.25/102,124.50
6. Step 6: Final answer
   x = 489,689.14