Finding the Third Proportional to 67,738 and 102,904

Step by Step Solution

1. Step 1: Write the proportion equation
   67,738 : 102,904 = 102,904 : x
2. Step 2: Convert to fraction form
   67,738/102,904 = 102,904/x
3. Step 3: Cross multiply
   67,738x = 102,904 × 102,904
4. Step 4: Simplify right side
   67,738x = 10,589,233,216
5. Step 5: Solve for x
   x = 10,589,233,216/67,738
6. Step 6: Final answer
   x = 156,326.33