Finding the Third Proportional to 102,260 and 223,114

Step by Step Solution

1. Step 1: Write the proportion equation
   102,260 : 223,114 = 223,114 : x
2. Step 2: Convert to fraction form
   102,260/223,114 = 223,114/x
3. Step 3: Cross multiply
   102,260x = 223,114 × 223,114
4. Step 4: Simplify right side
   102,260x = 49,779,856,996
5. Step 5: Solve for x
   x = 49,779,856,996/102,260
6. Step 6: Final answer
   x = 486,796.96