Finding the Third Proportional to 35,648 and 78,356

Step by Step Solution

1. Step 1: Write the proportion equation
   35,648 : 78,356 = 78,356 : x
2. Step 2: Convert to fraction form
   35,648/78,356 = 78,356/x
3. Step 3: Cross multiply
   35,648x = 78,356 × 78,356
4. Step 4: Simplify right side
   35,648x = 6,139,662,736
5. Step 5: Solve for x
   x = 6,139,662,736/35,648
6. Step 6: Final answer
   x = 172,230.22