Finding the Third Proportional to 211,888 and 464,240

Step by Step Solution

1. Step 1: Write the proportion equation
   211,888 : 464,240 = 464,240 : x
2. Step 2: Convert to fraction form
   211,888/464,240 = 464,240/x
3. Step 3: Cross multiply
   211,888x = 464,240 × 464,240
4. Step 4: Simplify right side
   211,888x = 215,518,777,600
5. Step 5: Solve for x
   x = 215,518,777,600/211,888
6. Step 6: Final answer
   x = 1,017,135.36