Finding the Third Proportional to 78,630 and 171,084

Step by Step Solution

1. Step 1: Write the proportion equation
   78,630 : 171,084 = 171,084 : x
2. Step 2: Convert to fraction form
   78,630/171,084 = 171,084/x
3. Step 3: Cross multiply
   78,630x = 171,084 × 171,084
4. Step 4: Simplify right side
   78,630x = 29,269,735,056
5. Step 5: Solve for x
   x = 29,269,735,056/78,630
6. Step 6: Final answer
   x = 372,246.41