Finding the Third Proportional to 219,780 and 470,646

Step by Step Solution

1. Step 1: Write the proportion equation
   219,780 : 470,646 = 470,646 : x
2. Step 2: Convert to fraction form
   219,780/470,646 = 470,646/x
3. Step 3: Cross multiply
   219,780x = 470,646 × 470,646
4. Step 4: Simplify right side
   219,780x = 221,507,657,316
5. Step 5: Solve for x
   x = 221,507,657,316/219,780
6. Step 6: Final answer
   x = 1,007,860.85