Finding the Third Proportional to 102,820 and 238,010

Step by Step Solution

1. Step 1: Write the proportion equation
   102,820 : 238,010 = 238,010 : x
2. Step 2: Convert to fraction form
   102,820/238,010 = 238,010/x
3. Step 3: Cross multiply
   102,820x = 238,010 × 238,010
4. Step 4: Simplify right side
   102,820x = 56,648,760,100
5. Step 5: Solve for x
   x = 56,648,760,100/102,820
6. Step 6: Final answer
   x = 550,950.79