Finding the Third Proportional to 46,996 and 100,822

Step by Step Solution

1. Step 1: Write the proportion equation
   46,996 : 100,822 = 100,822 : x
2. Step 2: Convert to fraction form
   46,996/100,822 = 100,822/x
3. Step 3: Cross multiply
   46,996x = 100,822 × 100,822
4. Step 4: Simplify right side
   46,996x = 10,165,075,684
5. Step 5: Solve for x
   x = 10,165,075,684/46,996
6. Step 6: Final answer
   x = 216,296.61