Finding the Third Proportional to 42,780 and 103,061

Step by Step Solution

1. Step 1: Write the proportion equation
   42,780 : 103,061 = 103,061 : x
2. Step 2: Convert to fraction form
   42,780/103,061 = 103,061/x
3. Step 3: Cross multiply
   42,780x = 103,061 × 103,061
4. Step 4: Simplify right side
   42,780x = 10,621,569,721
5. Step 5: Solve for x
   x = 10,621,569,721/42,780
6. Step 6: Final answer
   x = 248,283.54