Finding the Third Proportional to 218,860 and 470,416

Step by Step Solution

1. Step 1: Write the proportion equation
   218,860 : 470,416 = 470,416 : x
2. Step 2: Convert to fraction form
   218,860/470,416 = 470,416/x
3. Step 3: Cross multiply
   218,860x = 470,416 × 470,416
4. Step 4: Simplify right side
   218,860x = 221,291,213,056
5. Step 5: Solve for x
   x = 221,291,213,056/218,860
6. Step 6: Final answer
   x = 1,011,108.53