Finding the Third Proportional to 78,788 and 116,945

Step by Step Solution

1. Step 1: Write the proportion equation
   78,788 : 116,945 = 116,945 : x
2. Step 2: Convert to fraction form
   78,788/116,945 = 116,945/x
3. Step 3: Cross multiply
   78,788x = 116,945 × 116,945
4. Step 4: Simplify right side
   78,788x = 13,676,133,025
5. Step 5: Solve for x
   x = 13,676,133,025/78,788
6. Step 6: Final answer
   x = 173,581.42