Finding the Third Proportional to 78,504 and 117,510

Step by Step Solution

1. Step 1: Write the proportion equation
   78,504 : 117,510 = 117,510 : x
2. Step 2: Convert to fraction form
   78,504/117,510 = 117,510/x
3. Step 3: Cross multiply
   78,504x = 117,510 × 117,510
4. Step 4: Simplify right side
   78,504x = 13,808,600,100
5. Step 5: Solve for x
   x = 13,808,600,100/78,504
6. Step 6: Final answer
   x = 175,896.77