Finding the Third Proportional to 42,770 and 103,037

Step by Step Solution

1. Step 1: Write the proportion equation
   42,770 : 103,037 = 103,037 : x
2. Step 2: Convert to fraction form
   42,770/103,037 = 103,037/x
3. Step 3: Cross multiply
   42,770x = 103,037 × 103,037
4. Step 4: Simplify right side
   42,770x = 10,616,623,369
5. Step 5: Solve for x
   x = 10,616,623,369/42,770
6. Step 6: Final answer
   x = 248,225.94