Finding the Third Proportional to 78,827 and 175,150

Step by Step Solution

1. Step 1: Write the proportion equation
   78,827 : 175,150 = 175,150 : x
2. Step 2: Convert to fraction form
   78,827/175,150 = 175,150/x
3. Step 3: Cross multiply
   78,827x = 175,150 × 175,150
4. Step 4: Simplify right side
   78,827x = 30,677,522,500
5. Step 5: Solve for x
   x = 30,677,522,500/78,827
6. Step 6: Final answer
   x = 389,175.31