Finding the Third Proportional to 103,870 and 229,538

Step by Step Solution

1. Step 1: Write the proportion equation
   103,870 : 229,538 = 229,538 : x
2. Step 2: Convert to fraction form
   103,870/229,538 = 229,538/x
3. Step 3: Cross multiply
   103,870x = 229,538 × 229,538
4. Step 4: Simplify right side
   103,870x = 52,687,693,444
5. Step 5: Solve for x
   x = 52,687,693,444/103,870
6. Step 6: Final answer
   x = 507,246.50