Finding the Third Proportional to 211,784 and 465,040

Step by Step Solution

1. Step 1: Write the proportion equation
   211,784 : 465,040 = 465,040 : x
2. Step 2: Convert to fraction form
   211,784/465,040 = 465,040/x
3. Step 3: Cross multiply
   211,784x = 465,040 × 465,040
4. Step 4: Simplify right side
   211,784x = 216,262,201,600
5. Step 5: Solve for x
   x = 216,262,201,600/211,784
6. Step 6: Final answer
   x = 1,021,145.14