Finding the Third Proportional to 211,788 and 465,696

Step by Step Solution

1. Step 1: Write the proportion equation
   211,788 : 465,696 = 465,696 : x
2. Step 2: Convert to fraction form
   211,788/465,696 = 465,696/x
3. Step 3: Cross multiply
   211,788x = 465,696 × 465,696
4. Step 4: Simplify right side
   211,788x = 216,872,764,416
5. Step 5: Solve for x
   x = 216,872,764,416/211,788
6. Step 6: Final answer
   x = 1,024,008.75