Finding the Third Proportional to 45,995 and 100,822

Step by Step Solution

1. Step 1: Write the proportion equation
   45,995 : 100,822 = 100,822 : x
2. Step 2: Convert to fraction form
   45,995/100,822 = 100,822/x
3. Step 3: Cross multiply
   45,995x = 100,822 × 100,822
4. Step 4: Simplify right side
   45,995x = 10,165,075,684
5. Step 5: Solve for x
   x = 10,165,075,684/45,995
6. Step 6: Final answer
   x = 221,003.93