Finding the Third Proportional to 103,678 and 149,856

Step by Step Solution

1. Step 1: Write the proportion equation
   103,678 : 149,856 = 149,856 : x
2. Step 2: Convert to fraction form
   103,678/149,856 = 149,856/x
3. Step 3: Cross multiply
   103,678x = 149,856 × 149,856
4. Step 4: Simplify right side
   103,678x = 22,456,820,736
5. Step 5: Solve for x
   x = 22,456,820,736/103,678
6. Step 6: Final answer
   x = 216,601.60