Finding the Third Proportional to 101,970 and 223,636

Step by Step Solution

1. Step 1: Write the proportion equation
   101,970 : 223,636 = 223,636 : x
2. Step 2: Convert to fraction form
   101,970/223,636 = 223,636/x
3. Step 3: Cross multiply
   101,970x = 223,636 × 223,636
4. Step 4: Simplify right side
   101,970x = 50,013,060,496
5. Step 5: Solve for x
   x = 50,013,060,496/101,970
6. Step 6: Final answer
   x = 490,468.38