Finding the Third Proportional to 102,822 and 238,012

Step by Step Solution

1. Step 1: Write the proportion equation
   102,822 : 238,012 = 238,012 : x
2. Step 2: Convert to fraction form
   102,822/238,012 = 238,012/x
3. Step 3: Cross multiply
   102,822x = 238,012 × 238,012
4. Step 4: Simplify right side
   102,822x = 56,649,712,144
5. Step 5: Solve for x
   x = 56,649,712,144/102,822
6. Step 6: Final answer
   x = 550,949.33