Finding the Third Proportional to 78,815 and 175,126

Step by Step Solution

1. Step 1: Write the proportion equation
   78,815 : 175,126 = 175,126 : x
2. Step 2: Convert to fraction form
   78,815/175,126 = 175,126/x
3. Step 3: Cross multiply
   78,815x = 175,126 × 175,126
4. Step 4: Simplify right side
   78,815x = 30,669,115,876
5. Step 5: Solve for x
   x = 30,669,115,876/78,815
6. Step 6: Final answer
   x = 389,127.91