Finding the Third Proportional to 100,022 and 236,111

Step by Step Solution

1. Step 1: Write the proportion equation
   100,022 : 236,111 = 236,111 : x
2. Step 2: Convert to fraction form
   100,022/236,111 = 236,111/x
3. Step 3: Cross multiply
   100,022x = 236,111 × 236,111
4. Step 4: Simplify right side
   100,022x = 55,748,404,321
5. Step 5: Solve for x
   x = 55,748,404,321/100,022
6. Step 6: Final answer
   x = 557,361.42