Finding the Third Proportional to 113,766 and 156,824

Step by Step Solution

1. Step 1: Write the proportion equation
   113,766 : 156,824 = 156,824 : x
2. Step 2: Convert to fraction form
   113,766/156,824 = 156,824/x
3. Step 3: Cross multiply
   113,766x = 156,824 × 156,824
4. Step 4: Simplify right side
   113,766x = 24,593,766,976
5. Step 5: Solve for x
   x = 24,593,766,976/113,766
6. Step 6: Final answer
   x = 216,178.53