Finding the Third Proportional to 35,680 and 78,422

Step by Step Solution

1. Step 1: Write the proportion equation
   35,680 : 78,422 = 78,422 : x
2. Step 2: Convert to fraction form
   35,680/78,422 = 78,422/x
3. Step 3: Cross multiply
   35,680x = 78,422 × 78,422
4. Step 4: Simplify right side
   35,680x = 6,150,010,084
5. Step 5: Solve for x
   x = 6,150,010,084/35,680
6. Step 6: Final answer
   x = 172,365.75