Finding the Third Proportional to 102,824 and 238,014

Step by Step Solution

1. Step 1: Write the proportion equation
   102,824 : 238,014 = 238,014 : x
2. Step 2: Convert to fraction form
   102,824/238,014 = 238,014/x
3. Step 3: Cross multiply
   102,824x = 238,014 × 238,014
4. Step 4: Simplify right side
   102,824x = 56,650,664,196
5. Step 5: Solve for x
   x = 56,650,664,196/102,824
6. Step 6: Final answer
   x = 550,947.87