Finding the Third Proportional to 102,262 and 223,118

Step by Step Solution

1. Step 1: Write the proportion equation
   102,262 : 223,118 = 223,118 : x
2. Step 2: Convert to fraction form
   102,262/223,118 = 223,118/x
3. Step 3: Cross multiply
   102,262x = 223,118 × 223,118
4. Step 4: Simplify right side
   102,262x = 49,781,641,924
5. Step 5: Solve for x
   x = 49,781,641,924/102,262
6. Step 6: Final answer
   x = 486,804.89