Finding the Third Proportional to 78,790 and 118,245

Step by Step Solution

1. Step 1: Write the proportion equation
   78,790 : 118,245 = 118,245 : x
2. Step 2: Convert to fraction form
   78,790/118,245 = 118,245/x
3. Step 3: Cross multiply
   78,790x = 118,245 × 118,245
4. Step 4: Simplify right side
   78,790x = 13,981,880,025
5. Step 5: Solve for x
   x = 13,981,880,025/78,790
6. Step 6: Final answer
   x = 177,457.55