Finding the Third Proportional to 42,770 and 102,908

Step by Step Solution

1. Step 1: Write the proportion equation
   42,770 : 102,908 = 102,908 : x
2. Step 2: Convert to fraction form
   42,770/102,908 = 102,908/x
3. Step 3: Cross multiply
   42,770x = 102,908 × 102,908
4. Step 4: Simplify right side
   42,770x = 10,590,056,464
5. Step 5: Solve for x
   x = 10,590,056,464/42,770
6. Step 6: Final answer
   x = 247,604.78