Finding the Third Proportional to 211,920 and 463,212

Step by Step Solution

1. Step 1: Write the proportion equation
   211,920 : 463,212 = 463,212 : x
2. Step 2: Convert to fraction form
   211,920/463,212 = 463,212/x
3. Step 3: Cross multiply
   211,920x = 463,212 × 463,212
4. Step 4: Simplify right side
   211,920x = 214,565,356,944
5. Step 5: Solve for x
   x = 214,565,356,944/211,920
6. Step 6: Final answer
   x = 1,012,482.81