Finding the Third Proportional to 78,368 and 141,176

Step by Step Solution

1. Step 1: Write the proportion equation
   78,368 : 141,176 = 141,176 : x
2. Step 2: Convert to fraction form
   78,368/141,176 = 141,176/x
3. Step 3: Cross multiply
   78,368x = 141,176 × 141,176
4. Step 4: Simplify right side
   78,368x = 19,930,662,976
5. Step 5: Solve for x
   x = 19,930,662,976/78,368
6. Step 6: Final answer
   x = 254,321.44