Finding the Third Proportional to 71,824.50 and 113,676

Step by Step Solution

1. Step 1: Write the proportion equation
   71,824.50 : 113,676 = 113,676 : x
2. Step 2: Convert to fraction form
   71,824.50/113,676 = 113,676/x
3. Step 3: Cross multiply
   71,824.50x = 113,676 × 113,676
4. Step 4: Simplify right side
   71,824.50x = 12,922,232,976
5. Step 5: Solve for x
   x = 12,922,232,976/71,824.50
6. Step 6: Final answer
   x = 179,914.00