Finding the Third Proportional to 46,510 and 101,822

Step by Step Solution

1. Step 1: Write the proportion equation
   46,510 : 101,822 = 101,822 : x
2. Step 2: Convert to fraction form
   46,510/101,822 = 101,822/x
3. Step 3: Cross multiply
   46,510x = 101,822 × 101,822
4. Step 4: Simplify right side
   46,510x = 10,367,719,684
5. Step 5: Solve for x
   x = 10,367,719,684/46,510
6. Step 6: Final answer
   x = 222,913.78