Finding the Third Proportional to 103,870 and 229,537.50

Step by Step Solution

1. Step 1: Write the proportion equation
   103,870 : 229,537.50 = 229,537.50 : x
2. Step 2: Convert to fraction form
   103,870/229,537.50 = 229,537.50/x
3. Step 3: Cross multiply
   103,870x = 229,537.50 × 229,537.50
4. Step 4: Simplify right side
   103,870x = 52,687,463,906.25
5. Step 5: Solve for x
   x = 52,687,463,906.25/103,870
6. Step 6: Final answer
   x = 507,244.29