Finding the Third Proportional to 100,202 and 218,870

Step by Step Solution

1. Step 1: Write the proportion equation
   100,202 : 218,870 = 218,870 : x
2. Step 2: Convert to fraction form
   100,202/218,870 = 218,870/x
3. Step 3: Cross multiply
   100,202x = 218,870 × 218,870
4. Step 4: Simplify right side
   100,202x = 47,904,076,900
5. Step 5: Solve for x
   x = 47,904,076,900/100,202
6. Step 6: Final answer
   x = 478,075.06