Finding the Third Proportional to 78,204 and 117,210

Step by Step Solution

1. Step 1: Write the proportion equation
   78,204 : 117,210 = 117,210 : x
2. Step 2: Convert to fraction form
   78,204/117,210 = 117,210/x
3. Step 3: Cross multiply
   78,204x = 117,210 × 117,210
4. Step 4: Simplify right side
   78,204x = 13,738,184,100
5. Step 5: Solve for x
   x = 13,738,184,100/78,204
6. Step 6: Final answer
   x = 175,671.12