Finding the Third Proportional to 78,916 and 118,086

Step by Step Solution

1. Step 1: Write the proportion equation
   78,916 : 118,086 = 118,086 : x
2. Step 2: Convert to fraction form
   78,916/118,086 = 118,086/x
3. Step 3: Cross multiply
   78,916x = 118,086 × 118,086
4. Step 4: Simplify right side
   78,916x = 13,944,303,396
5. Step 5: Solve for x
   x = 13,944,303,396/78,916
6. Step 6: Final answer
   x = 176,698.05