Finding the Third Proportional to 78,782 and 116,936

Step by Step Solution

1. Step 1: Write the proportion equation
   78,782 : 116,936 = 116,936 : x
2. Step 2: Convert to fraction form
   78,782/116,936 = 116,936/x
3. Step 3: Cross multiply
   78,782x = 116,936 × 116,936
4. Step 4: Simplify right side
   78,782x = 13,674,028,096
5. Step 5: Solve for x
   x = 13,674,028,096/78,782
6. Step 6: Final answer
   x = 173,567.92