Finding the Third Proportional to 78,320 and 117,504

Step by Step Solution

1. Step 1: Write the proportion equation
   78,320 : 117,504 = 117,504 : x
2. Step 2: Convert to fraction form
   78,320/117,504 = 117,504/x
3. Step 3: Cross multiply
   78,320x = 117,504 × 117,504
4. Step 4: Simplify right side
   78,320x = 13,807,190,016
5. Step 5: Solve for x
   x = 13,807,190,016/78,320
6. Step 6: Final answer
   x = 176,292.01