Finding the Third Proportional to 111,422 and 238,396

Step by Step Solution

1. Step 1: Write the proportion equation
   111,422 : 238,396 = 238,396 : x
2. Step 2: Convert to fraction form
   111,422/238,396 = 238,396/x
3. Step 3: Cross multiply
   111,422x = 238,396 × 238,396
4. Step 4: Simplify right side
   111,422x = 56,832,652,816
5. Step 5: Solve for x
   x = 56,832,652,816/111,422
6. Step 6: Final answer
   x = 510,066.71